-
2
-
-
0001502193
-
New invariants of 3- And 4-dimensional manifolds
-
The Mathematical Heritage of Hermann Weyl (Durham, N.C., 1987), Amer. Math. Soc., Providence
-
M. F. Atiyah,"New invariants of 3- and 4-dimensional manifolds" in The Mathematical Heritage of Hermann Weyl (Durham, N.C., 1987), Proc. Sympos. Pure Math. 48, Amer. Math. Soc., Providence, 1988, 285-299.
-
(1988)
Proc. Sympos. Pure Math.
, vol.48
, pp. 285-299
-
-
Atiyah, M.F.1
-
4
-
-
0031283632
-
Asymptotically holomorphic families of symplectic submanifolds
-
D. Auroux, Asymptotically holomorphic families of symplectic submanifolds, Geom. Funct. Anal. 7 (1997), 971-995.
-
(1997)
Geom. Funct. Anal.
, vol.7
, pp. 971-995
-
-
Auroux, D.1
-
5
-
-
0030525856
-
Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
-
A. Bertram, G. Daskalopoulos, and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc. 9 (1996), 529-571.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 529-571
-
-
Bertram, A.1
Daskalopoulos, G.2
Wentworth, R.3
-
7
-
-
84972537284
-
Special metrics and stability for holomorphic bundles with global sections
-
S. B. Bradlow, Special metrics and stability for holomorphic bundles with global sections, J. Differential Geom. 33 (1991), 169-213.
-
(1991)
J. Differential Geom.
, vol.33
, pp. 169-213
-
-
Bradlow, S.B.1
-
8
-
-
0000120329
-
Moduli of stable pairs for holomorphic bundles over Riemann surfaces
-
S. B. Bradlow and G. Daskalopoulos, Moduli of stable pairs for holomorphic bundles over Riemann surfaces, Internat. J. Math. 2 (1991), 477-513.
-
(1991)
Internat. J. Math.
, vol.2
, pp. 477-513
-
-
Bradlow, S.B.1
Daskalopoulos, G.2
-
9
-
-
0030187552
-
Birational equivalences of vortex moduli
-
S. B. Bradlow, G. Daskalopoulos, and R. Wentworth, Birational equivalences of vortex moduli, Topology 35 (1996), 731-748.
-
(1996)
Topology
, vol.35
, pp. 731-748
-
-
Bradlow, S.B.1
Daskalopoulos, G.2
Wentworth, R.3
-
11
-
-
0000515622
-
Instantons and geometric invariant theory
-
S. K. Donaldson, Instantons and geometric invariant theory, Comm. Math. Phys. 93 (1984), 453-460.
-
(1984)
Comm. Math. Phys.
, vol.93
, pp. 453-460
-
-
Donaldson, S.K.1
-
12
-
-
28744452988
-
Polynomial invariants of smooth four-manifolds
-
_, Polynomial invariants of smooth four-manifolds, Topology 29 (1990), 257-315.
-
(1990)
Topology
, vol.29
, pp. 257-315
-
-
-
13
-
-
0030293308
-
Symplectic submanifolds and almost-complex geometry
-
_, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996), 666-705.
-
(1996)
J. Differential Geom.
, vol.44
, pp. 666-705
-
-
-
14
-
-
0012671907
-
Moment maps and diffeomorphisms
-
_, Moment maps and diffeomorphisms, Asian J. Math. 3 (1999), 1-15.
-
(1999)
Asian J. Math.
, vol.3
, pp. 1-15
-
-
-
15
-
-
0038525010
-
Symmetric spaces, Kähler geometry, and Hamiltonian dynamics
-
Northern California Symplectic Geometry Seminar, Amer. Math. Soc., Providence
-
_, "Symmetric spaces, Kähler geometry, and Hamiltonian dynamics" in Northern California Symplectic Geometry Seminar, Amer. Math. Soc. Transl. Ser. 2 196, Amer. Math. Soc., Providence, 1999, 13-33.
-
(1999)
Amer. Math. Soc. Transl. Ser. 2
, vol.196
, pp. 13-33
-
-
-
16
-
-
0042690624
-
Topological field theories and formulae of Casson and Meng-Taubes
-
Proceedings of the Kirbyfest (Berkeley, Calif., 1998), Geom. Topol., Inst. Maths., Coventry
-
_, "Topological field theories and formulae of Casson and Meng-Taubes" in Proceedings of the Kirbyfest (Berkeley, Calif., 1998), Geom. Topol. Monogr. 2, Geom. Topol., Inst. Maths., Coventry, 1999, 87-102.
-
(1999)
Geom. Topol. Monogr.
, vol.2
, pp. 87-102
-
-
-
17
-
-
0002090458
-
Instanton homology and Symplectic fixed points
-
Symplectic Geometry, Cambridge Univ. Press, Cambridge
-
S. Dostoglou and D. A. Salomon, "Instanton homology and Symplectic fixed points" in Symplectic Geometry, London Math. Soc. Lecture Note Ser. 192, Cambridge Univ. Press, Cambridge, 1993, 57-94.
-
(1993)
London Math. Soc. Lecture Note Ser.
, vol.192
, pp. 57-94
-
-
Dostoglou, S.1
Salomon, D.A.2
-
18
-
-
0013198473
-
Cauchy-Riemann operators, self-duality, and the spectral flow
-
First European Congress of Mathematics Vol. 1: Invited Lectures, Part 1, Birkhäuser, Basel
-
_, "Cauchy-Riemann operators, self-duality, and the spectral flow" in First European Congress of Mathematics Vol. 1: Invited Lectures, Part 1, Progr. Math. 119, Birkhäuser, Basel, 1994, 511-545.
-
(1994)
Progr. Math.
, vol.119
, pp. 511-545
-
-
-
19
-
-
0000159109
-
Self-dual instantons and holomorphic curves
-
_, Self-dual instantons and holomorphic curves, Ann. of Math. (2) 139 (1994), 581-640.
-
(1994)
Ann. of Math.
, vol.139
, Issue.2
, pp. 581-640
-
-
-
20
-
-
0000672578
-
Invariants in contact topology
-
Proceedings of the International Congress of Mathematicians (Berlin, 1998), Vol. 2, Doc. Math., Bielefeld
-
Y. Eliashberg, "Invariants in contact topology" in Proceedings of the International Congress of Mathematicians (Berlin, 1998), Vol. 2, Doc. Math. 1998, Extra Vol. 2, Doc. Math., Bielefeld, 327-338, http://www.mathematik.uni-bielefeld.de/documenta/.
-
Doc. Math. 1998
, vol.2
, pp. 327-338
-
-
Eliashberg, Y.1
-
21
-
-
1542555328
-
An instanton-invariant for 3-manifolds
-
A. Floer, An instanton-invariant for 3-manifolds, Comm. Math. Phys. 118 (1988), 215-240.
-
(1988)
Comm. Math. Phys.
, vol.118
, pp. 215-240
-
-
Floer, A.1
-
22
-
-
84972518037
-
Morse theory for Lagrangian intersections
-
_, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988), 513-547.
-
(1988)
J. Differential Geom.
, vol.28
, pp. 513-547
-
-
-
23
-
-
84990602491
-
The unregularized gradient flow of the symplectic action
-
_, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988), 775-813.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 775-813
-
-
-
24
-
-
0000781004
-
Symplectic fixed points and holomorphic spheres
-
_, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989), 575-611.
-
(1989)
Comm. Math. Phys.
, vol.120
, pp. 575-611
-
-
-
25
-
-
0346657234
-
-
lectures in Cortona and Kyoto, June/July 1999
-
K. Fukaya, lectures in Cortona and Kyoto, June/July 1999.
-
-
-
Fukaya, K.1
-
28
-
-
0002765976
-
A direct existence proof for the vortex equations over a compact Riemann surface
-
O. García-Prada, A direct existence proof for the vortex equations over a compact Riemann surface, Bull. London Math. Soc. 26 (1994), 88-96.
-
(1994)
Bull. London Math. Soc.
, vol.26
, pp. 88-96
-
-
García-Prada, O.1
-
30
-
-
0347287455
-
A tutorial on quantum cohomology
-
Symplectic Geometry and Topology (Park City, Utah, 1997), Amer. Math. Soc., Providence
-
_, "A tutorial on quantum cohomology" in Symplectic Geometry and Topology (Park City, Utah, 1997), IAS/Park City Math. Ser. 7, Amer. Math. Soc., Providence, 1999, 231-264.
-
(1999)
IAS/Park City Math. Ser.
, vol.7
, pp. 231-264
-
-
-
31
-
-
0009242617
-
-
preprint, Univ. of Calif., Berkeley
-
_, Stationary phase integrals, quantum Toda lattices, flag manifolds, and the mirror conjecture, preprint, Univ. of Calif., Berkeley, 1996.
-
(1996)
Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds, and the Mirror Conjecture
-
-
-
32
-
-
0040804374
-
Pseudoholomorphic curves in symplectic manifolds
-
M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347.
-
(1985)
Invent. Math.
, vol.82
, pp. 307-347
-
-
Gromov, M.1
-
33
-
-
34250231714
-
Geometric quantization and multiplicities of group representations
-
V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), 515-538.
-
(1982)
Invent. Math.
, vol.67
, pp. 515-538
-
-
Guillemin, V.1
Sternberg, S.2
-
34
-
-
0001574267
-
Birational equivalence in the symplectic category
-
_, Birational equivalence in the symplectic category, Invent. Math. 97 (1989), 485-522.
-
(1989)
Invent. Math.
, vol.97
, pp. 485-522
-
-
-
36
-
-
0000681368
-
Floer homology and Novikov rings
-
The Floer Memorial Volume, Birkhauser, Basel
-
H. Hofer and D. A. Salamon, "Floer homology and Novikov rings" in The Floer Memorial Volume, Progr. Math. 133, Birkhauser, Basel, 1995, 483-524.
-
(1995)
Progr. Math.
, vol.133
, pp. 483-524
-
-
Hofer, H.1
Salamon, D.A.2
-
37
-
-
0041688880
-
Circle-valued Morse theory and Reidemeister torsion
-
M. Hutchings and Y.-J. Lee, Circle-valued Morse theory and Reidemeister torsion, Geom. Topol. 3 (1999), 369-396.
-
(1999)
Geom. Topol.
, vol.3
, pp. 369-396
-
-
Hutchings, M.1
Lee, Y.-J.2
-
38
-
-
0033165255
-
Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds
-
_, Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds, Topology 38 (1999), 861-888.
-
(1999)
Topology
, vol.38
, pp. 861-888
-
-
-
39
-
-
0003312306
-
Cohomology of Quotients in Symplectic and Algebraic Geometry
-
Princeton Univ. Press, Princeton
-
F. Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry, Math. Notes 31, Princeton Univ. Press, Princeton, 1984.
-
(1984)
Math. Notes
, vol.31
-
-
Kirwan, F.1
-
41
-
-
34249763252
-
Gromov-Witten classes, quantum cohomology, and enumerative geometry
-
M. Kontsevich and Yu. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), 525-562.
-
(1994)
Comm. Math. Phys.
, vol.164
, pp. 525-562
-
-
Kontsevich, M.1
Manin, Yu.2
-
42
-
-
0001278369
-
The genus of embedded surfaces in the protective plane
-
P. Kronheimer and T. S. Mrowka, The genus of embedded surfaces in the protective plane, Math. Res. Lett. 1 (1994), 797-808.
-
(1994)
Math. Res. Lett.
, vol.1
, pp. 797-808
-
-
Kronheimer, P.1
Mrowka, T.S.2
-
45
-
-
0002476084
-
Floer homology and Arnold conjecture
-
G. Liu and G. Tian, Floer homology and Arnold conjecture, J. Differential Geom. 49 (1998), 1-74.
-
(1998)
J. Differential Geom.
, vol.49
, pp. 1-74
-
-
Liu, G.1
Tian, G.2
-
48
-
-
0007062760
-
-
preprint, Institute for Advanced Study, Princeton, N.J.
-
_, Transversality theory, cobordisms, and invariants of symplectic quotients, preprint, Institute for Advanced Study, Princeton, N.J., 1999.
-
(1999)
Transversality Theory, Cobordisms, and Invariants of Symplectic Quotients
-
-
-
49
-
-
0347917680
-
-
private communication, 1999
-
_, private communication, 1999.
-
-
-
-
50
-
-
0003227053
-
J-holomorphic Curves and Quantum Cohomology
-
Amer. Math. Soc., Providence
-
D. McDuff and D. Salamon, J-holomorphic Curves and Quantum Cohomology, Univ. Lecture Ser. 6, Amer. Math. Soc., Providence, 1994.
-
(1994)
Univ. Lecture Ser.
, vol.6
-
-
McDuff, D.1
Salamon, D.2
-
54
-
-
0003260206
-
Geometric Invariant Theory, 3rd ed.
-
Springer, Berlin
-
D. Mumford, J. Fogarty, and F. Kirwan, Geometric Invariant Theory, 3rd ed., Ergeb. Math. Grenzgeb. (2) 34, Springer, Berlin, 1994.
-
(1994)
Ergeb. Math. Grenzgeb.
, vol.34
, Issue.2
-
-
Mumford, D.1
Fogarty, J.2
Kirwan, F.3
-
56
-
-
0001690431
-
Stable and unitary vector bundles over compact Riemann surfaces
-
M. S. Narasimhan and C. S. Seshadri, Stable and unitary vector bundles over compact Riemann surfaces, Ann. of Math. (2) 82 (1965), 540-564.
-
(1965)
Ann. of Math.
, vol.82
, Issue.2
, pp. 540-564
-
-
Narasimhan, M.S.1
Seshadri, C.S.2
-
57
-
-
84990556188
-
Floer cohomology of Lagrangian intersections and pseudo-holomorphic discs, I
-
Y.-G. Oh, Floer cohomology of Lagrangian intersections and pseudo-holomorphic discs, I, Comm. Pure Appl. Math. 46 (1993), 949-993.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 949-993
-
-
Oh, Y.-G.1
-
58
-
-
0346026126
-
-
Localization of Donaldson polynomials along Seiberg-Witten classes, preprint no. 75, Univ. Bielefeld, 1995
-
V. Pidstrigach and A. Tyurin, Localization of Donaldson polynomials along Seiberg-Witten classes, preprint no. 75, Univ. Bielefeld, 1995.
-
-
-
Pidstrigach, V.1
Tyurin, A.2
-
59
-
-
0001383404
-
Symplectic Floer-Donaldson theory and quantum cohomology
-
Contact and Symplectic Geometry (Cambridge, 1994), Cambridge Univ. Press, Cambridge
-
S. Piunikhin, D. Salamon, and M. Schwarz, "Symplectic Floer-Donaldson theory and quantum cohomology" in Contact and Symplectic Geometry (Cambridge, 1994), Publ. Newton Inst. 8, Cambridge Univ. Press, Cambridge, 1996, 171-200.
-
(1996)
Publ. Newton Inst.
, vol.8
, pp. 171-200
-
-
Piunikhin, S.1
Salamon, D.2
Schwarz, M.3
-
61
-
-
0001060689
-
Topological sigma model and Donaldson-type invariants in Gromov theory
-
Y. Ruan, Topological sigma model and Donaldson-type invariants in Gromov theory, Duke Math. J. 83 (1996), 461-500.
-
(1996)
Duke Math. J.
, vol.83
, pp. 461-500
-
-
Ruan, Y.1
-
62
-
-
0037581985
-
Virtual neighborhoods and the monopole equations
-
Topics in Symplectic 4-manifolds (Irvine, Calif., 1996), Internat. Press, Cambridge, Mass.
-
_, "Virtual neighborhoods and the monopole equations" in Topics in Symplectic 4-manifolds (Irvine, Calif., 1996), First Int. Press Lect. Ser. 1, Internat. Press, Cambridge, Mass., 1998, 101-116.
-
(1998)
First Int. Press Lect. Ser. 1
, pp. 101-116
-
-
-
63
-
-
0000067699
-
Surgery, quantum cohomology and birational geometry
-
Northern California Symplectic Geometry Seminar, Amer. Math. Soc., Providence
-
_, "Surgery, quantum cohomology and birational geometry" in Northern California Symplectic Geometry Seminar, Amer. Math. Soc. Transl. Ser. 2 196, Amer. Math. Soc., Providence, 1999, 183-198.
-
(1999)
Amer. Math. Soc. Transl. Ser. 2
, vol.196
, pp. 183-198
-
-
-
64
-
-
0009995878
-
Lagrangian intersections, 3-manifolds with boundary, and the Atiyah-Floer conjecture
-
Birkhäuser, Basel
-
D. A. Salamon, "Lagrangian intersections, 3-manifolds with boundary, and the Atiyah-Floer conjecture" in Proceedings of the International Congress of Mathematicians (Zürich, 1994), Vol. 1, Birkhäuser, Basel, 1995, 526-536.
-
(1995)
Proceedings of the International Congress of Mathematicians (Zürich, 1994)
, vol.1
, pp. 526-536
-
-
Salamon, D.A.1
-
65
-
-
0346026113
-
Quantum products for mapping tori and the Atiyah-Floer conjecture
-
Northern California Symplectic Geometry Seminar, Amer. Math. Soc., Providence
-
_, "Quantum products for mapping tori and the Atiyah-Floer conjecture" in Northern California Symplectic Geometry Seminar, Amer. Math. Soc. Transl. Ser. 2 196, Amer. Math. Soc., Providence, 1999, 199-235.
-
(1999)
Amer. Math. Soc. Transl. Ser. 2
, vol.196
, pp. 199-235
-
-
-
66
-
-
53149095471
-
Seiberg-Witten invariants of mapping tori, symplectic fixed points, and Lefschetz numbers
-
_, Seiberg-Witten invariants of mapping tori, symplectic fixed points, and Lefschetz numbers, Turkish J. Math. 23 (1999), 117-143.
-
(1999)
Turkish J. Math.
, vol.23
, pp. 117-143
-
-
-
67
-
-
0346026116
-
-
Spin geometry and Seiberg-Witten invariants, to be published by Birkhäuser Verlag
-
_, Spin geometry and Seiberg-Witten invariants, to be published by Birkhäuser Verlag.
-
-
-
-
68
-
-
0031283630
-
1 of symplectic automorphism groups and invertibles in quantum cohomology rings
-
1 of symplectic automorphism groups and invertibles in quantum cohomology rings, Geom. Funct. Anal. 7 (1997), 1046-1095.
-
(1997)
Geom. Funct. Anal.
, vol.7
, pp. 1046-1095
-
-
Seidel, P.1
-
70
-
-
0000973618
-
The Seiberg-Witten and the Gromov invariants
-
C. H. Taubes, The Seiberg-Witten and the Gromov invariants, Math. Res. Lett. 2 (1995), 221-238.
-
(1995)
Math. Res. Lett.
, vol.2
, pp. 221-238
-
-
Taubes, C.H.1
-
71
-
-
0040519299
-
SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
-
_, SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves, J. Amer. Math. Soc. 9 (1996), 845-918.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 845-918
-
-
-
74
-
-
0001705238
-
Stable pairs, linear systems and the Verlinde algebra
-
M. Thaddeus, Stable pairs, linear systems and the Verlinde algebra, Invent. Math. 117 (1994), 317-353.
-
(1994)
Invent. Math.
, vol.117
, pp. 317-353
-
-
Thaddeus, M.1
-
75
-
-
0031283603
-
c-structures on 3-manifolds
-
c-structures on 3-manifolds, Math. Res. Lett. 4 (1997), 679-695.
-
(1997)
Math. Res. Lett.
, vol.4
, pp. 679-695
-
-
Turaev, V.1
-
77
-
-
45549111952
-
Fusion rules and modular transformations in 2D conformal field theory
-
E. Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nuclear Phys. B 300 (1988), 360-376.
-
(1988)
Nuclear Phys. B
, vol.300
, pp. 360-376
-
-
Verlinde, E.1
-
78
-
-
0033267246
-
Functors and computations in Floer homology with applications, I
-
C. Viterbo, Functors and computations in Floer homology with applications, I, Geom. Funct. Anal. 9 (1999), 985-1033.
-
(1999)
Geom. Funct. Anal.
, vol.9
, pp. 985-1033
-
-
Viterbo, C.1
-
79
-
-
0000368321
-
Monopoles and four-manifolds
-
E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), 769-796.
-
(1994)
Math. Res. Lett.
, vol.1
, pp. 769-796
-
-
Witten, E.1
-
80
-
-
0000931854
-
The Verlinde algebra and the quantum cohomology of the Grassmannian
-
Geometry, Topology, and Physics, Internat. Press, Cambridge, Mass
-
_, "The Verlinde algebra and the quantum cohomology of the Grassmannian" in Geometry, Topology, and Physics, Conf. Proc. Lecture Notes Geom. Topology 4, Internat. Press, Cambridge, Mass., 1995, 357-422.
-
(1995)
Conf. Proc. Lecture Notes Geom. Topology
, vol.4
, pp. 357-422
-
-
|