-
1
-
-
21844485930
-
Quantum cohomology of partial flag manifolds
-
A. Astashkevich and V. Sadov, Quantum cohomology of partial flag manifolds, Comm. Math. Physics, 170 (1995), 503-528.
-
(1995)
Comm. Math. Physics
, vol.170
, pp. 503-528
-
-
Astashkevich, A.1
Sadov, V.2
-
2
-
-
0032559727
-
Conifold transitions and mirror symmetry for Calabi- Yau complete intersections in Grassmannians
-
V. Batyrev, I. Ciocan-Fontanine, B. Kim, and D. van Straten, Conifold transitions and mirror symmetry for Calabi- Yau complete intersections in Grassmannians, Nuclear Physics B, 514 (1998), 640-666.
-
(1998)
Nuclear Physics B
, vol.514
, pp. 640-666
-
-
Batyrev, V.1
Ciocan-Fontanine, I.2
Kim, B.3
Van Straten, D.4
-
3
-
-
0002176646
-
Mirror symmetry and toric degenerations of partial flag manifolds
-
_, Mirror symmetry and toric degenerations of partial flag manifolds, Acta Math., 184 (2000), no. 1, 1-39.
-
(2000)
Acta Math.
, vol.184
, Issue.1
, pp. 1-39
-
-
-
4
-
-
0000894331
-
Sur la cohomologie des espaces fibres principaux et des espaces homogènes de groupes de Lie compacts
-
A. Borel, Sur la cohomologie des espaces fibres principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2), 57 (1953), 115-207.
-
(1953)
Ann. of Math. (2)
, vol.57
, pp. 115-207
-
-
Borel, A.1
-
5
-
-
2442641687
-
Equivariant cohomology of regular varieties
-
M. Brion and J. Carrell, Equivariant cohomology of regular varieties, Mich. Math. J., 52 (2004), 189-203.
-
(2004)
Mich. Math. J.
, vol.52
, pp. 189-203
-
-
Brion, M.1
Carrell, J.2
-
6
-
-
0001233844
-
On quantum cohomology rings of partial flag varieties
-
I. Ciocan-Fontanine, On quantum cohomology rings of partial flag varieties, Duke Math. J. (1999), no. 3, 485-523.
-
(1999)
Duke Math. J.
, Issue.3
, pp. 485-523
-
-
Ciocan-Fontanine, I.1
-
8
-
-
0001021839
-
On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells
-
MR 86f:20045
-
V. V. Deodhar, On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells, Invent. Math., 79 (1985), no. 3, 499-511. MR 86f:20045.
-
(1985)
Invent. Math.
, vol.79
, Issue.3
, pp. 499-511
-
-
Deodhar, V.V.1
-
9
-
-
0001438032
-
Gravitational quantum cohomology
-
T. Eguchi, K. Hori, and C.-S. Xiong, Gravitational quantum cohomology, Int. J. Mod. Phys., A12 (1997), 1743-1782.
-
(1997)
Int. J. Mod. Phys.
, vol.A12
, pp. 1743-1782
-
-
Eguchi, T.1
Hori, K.2
Xiong, C.-S.3
-
10
-
-
0031530210
-
Quantum Schubert polynomials
-
S. Fomin, S. Gelfand, and A. Postnikov, Quantum Schubert polynomials, J. Amer. Math. Soc., 168 (1997), 565-596.
-
(1997)
J. Amer. Math. Soc.
, vol.168
, pp. 565-596
-
-
Fomin, S.1
Gelfand, S.2
Postnikov, A.3
-
11
-
-
0000733517
-
Fusion rings and geometry
-
D. Gepner, Fusion rings and geometry, Comm. Math. Phys., 141 (1991), 381-411.
-
(1991)
Comm. Math. Phys.
, vol.141
, pp. 381-411
-
-
Gepner, D.1
-
12
-
-
33845400861
-
-
math.RT/0505310
-
A. Gerasimov, S. Kharchev, D. Lebedev, and S. Oblezin, On a Gauss-Givental representation of quantum Toda chain wave function, (2005), math.RT/0505310.
-
(2005)
On A Gauss-Givental Representation of Quantum Toda Chain Wave Function
-
-
Gerasimov, A.1
Kharchev, S.2
Lebedev, D.3
Oblezin, S.4
-
13
-
-
1842588046
-
Equivariant Gromov-Witten invariants
-
A. Givental, Equivariant Gromov-Witten invariants, IMRN, No. 13 (1996), 613-663.
-
(1996)
IMRN
, Issue.13
, pp. 613-663
-
-
Givental, A.1
-
14
-
-
0009242617
-
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture
-
AMS
-
_, Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture, Topics in singularity theory, American Mathematical Society Translations Ser. 2, AMS (1997).
-
(1997)
Topics in Singularity Theory, American Mathematical Society Translations Ser.
, vol.2
-
-
-
15
-
-
21844486554
-
Quantum cohornology of flag manifolds and Toda lattices
-
A. Givental and B. Kim, Quantum cohornology of flag manifolds and Toda lattices, Comm. Math. Phys., 168 (1995), 609-641.
-
(1995)
Comm. Math. Phys.
, vol.168
, pp. 609-641
-
-
Givental, A.1
Kim, B.2
-
16
-
-
0010064595
-
Homological geometry and mirror symmetry
-
Zürich, (Basel), Birkhäuser MR MR1403947 (97j:58013)
-
A. B. Givental, Homological geometry and mirror symmetry, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) (Basel), Birkhäuser (1995), pp. 472-480. MR MR1403947 (97j:58013).
-
(1994)
Proceedings of the International Congress of Mathematicians
, vol.1-2
, pp. 472-480
-
-
Givental, A.B.1
-
17
-
-
0003206873
-
Schubert varieties and Poincaré duality
-
Geometry of the Laplace operator Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, Amer. Math. Soc., Providence, RI MR 84g:14054
-
D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality, Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, RI (1980), pp. 185-203. MR 84g:14054.
-
(1979)
Proc. Sympos. Pure Math.
, vol.36
, pp. 185-203
-
-
Kazhdan, D.1
Lusztig, G.2
-
18
-
-
0002865139
-
Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings
-
B. Kim, Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings, Internat. Math. Res. Notices (1995), 1-15.
-
(1995)
Internat. Math. Res. Notices
, pp. 1-15
-
-
Kim, B.1
-
19
-
-
0002448628
-
Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight ρ
-
(N.S.)
-
B. Kostant, Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight ρ, Selecta Math. (N.S.), 2 (1996), 43-91.
-
(1996)
Selecta Math.
, vol.2
, pp. 43-91
-
-
Kostant, B.1
-
20
-
-
0007138797
-
Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group
-
Ascona, Kluwer
-
_, Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group, Deformation theory and geometry (Ascona, 1996), vol. 20, Kluwer (1997), pp. 157-175.
-
(1996)
Deformation Theory and Geometry
, vol.20
, pp. 157-175
-
-
-
21
-
-
0003270999
-
Total positivity in reductive groups
-
Lie theory and geometry: in honor of Bertram Kostant (G. I. Lehrer, ed.), Birkhaeuser, Boston
-
G. Lusztig, Total positivity in reductive groups, Lie theory and geometry: in honor of Bertram Kostant (G. I. Lehrer, ed.), Progress in Mathematics, vol. 123, Birkhaeuser, Boston (1994), pp. 531-568.
-
(1994)
Progress in Mathematics
, vol.123
, pp. 531-568
-
-
Lusztig, G.1
-
22
-
-
0001767792
-
Introduction to total positivity
-
Positivity in Lie theory: open problems, de Gruyter, Berlin MR MR1648700 (99h:20077)
-
_, Introduction to total positivity, Positivity in Lie theory: open problems, de Gruyter Exp. Math., vol. 26, de Gruyter, Berlin (1998), pp. 133-145. MR MR1648700 (99h:20077).
-
(1998)
De Gruyter Exp. Math.
, vol.26
, pp. 133-145
-
-
-
23
-
-
18444400208
-
Parametrizations in flag varieties
-
R. J. Marsh and K. Rietsch, Parametrizations in flag varieties, Representation Theory, 8 (2004), 212-242.
-
(2004)
Representation Theory
, vol.8
, pp. 212-242
-
-
Marsh, R.J.1
Rietsch, K.2
-
24
-
-
0003636122
-
J-holomorphic curves and quantum cohomology
-
American Mathematical Society, Providence, RI
-
D. McDuff and D. Salamon, J-holomorphic curves and quantum cohomology, University Lecture Series, American Mathematical Society, Providence, RI, 1994.
-
(1994)
University Lecture Series
-
-
McDuff, D.1
Salamon, D.2
-
25
-
-
2442664871
-
Quantum cohomology of G/P
-
M.I.T., Spring Term
-
D. Peterson, Quantum cohomology of G/P, Lecture Course, M.I.T., Spring Term, 1997.
-
(1997)
Lecture Course
-
-
Peterson, D.1
-
27
-
-
0033096024
-
An algebraic cell decomposition of the nonnegative part, of a flag variety
-
_, An algebraic cell decomposition of the nonnegative part, of a flag variety, J. Algebra, 213 (1999), 144-154.
-
(1999)
J. Algebra
, vol.213
, pp. 144-154
-
-
-
28
-
-
0012861883
-
Quantum cohomology of Grassmannians and total positivity
-
_, Quantum cohomology of Grassmannians and total positivity, Duke Math. J., 113 (2001), no. 3, 521-551.
-
(2001)
Duke Math. J.
, vol.113
, Issue.3
, pp. 521-551
-
-
-
29
-
-
33845421577
-
Finite Toeplitz matrices and quantum cohomology of flag varieties
-
World Scientific
-
_, Finite Toeplitz matrices and quantum cohomology of flag varieties, Proceedings of the Tenth Annual Meeting Women in Mathematics, World Scientific (2003), pp. 149-167.
-
(2003)
Proceedings of the Tenth Annual Meeting Women in Mathematics
, pp. 149-167
-
-
-
30
-
-
0037386355
-
Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
-
_, Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties, J. Amer. Math. Soc., 16 (2003), 363-392.
-
(2003)
J. Amer. Math. Soc.
, vol.16
, pp. 363-392
-
-
-
33
-
-
51249168759
-
A reduction theorem for totally positive matrices
-
A. M. Whitney, A reduction theorem for totally positive matrices, J. Analyse Math., 2 (1952), 88-92.
-
(1952)
J. Analyse Math.
, vol.2
, pp. 88-92
-
-
Whitney, A.M.1
|