-
1
-
-
0004245694
-
-
Dover, New York
-
M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972).
-
(1972)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
3
-
-
0010882054
-
Infinite conformal symmetry in two-dimensional quantum field theory
-
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B241 (1984) 333-380.
-
(1984)
Nucl. Phys.
, vol.B241
, pp. 333-380
-
-
Belavin, A.A.1
Polyakov, A.M.2
Zamolodchikov, A.B.3
-
4
-
-
84960552822
-
Instanton homology of Seifert fibered homology three spheres
-
R. Fintushel and R. Stern, Instanton homology of Seifert fibered homology three spheres, Proc. London Math. Soc. 61 (1990) 109-137.
-
(1990)
Proc. London Math. Soc.
, vol.61
, pp. 109-137
-
-
Fintushel, R.1
Stern, R.2
-
5
-
-
0011401976
-
Reidemeister torsion, spectral sequences, and Brieskorn spheres
-
D. S. Freed, Reidemeister torsion, spectral sequences, and Brieskorn spheres, J. Reine Angew. Math. 429 (1992) 75-89.
-
(1992)
J. Reine Angew. Math.
, vol.429
, pp. 75-89
-
-
Freed, D.S.1
-
6
-
-
0002059464
-
Computer calculation of Witten's 3-manifold invariant
-
D. S. Freed and R. E. Gompf, Computer calculation of Witten's 3-manifold invariant, Commun. Math. Phys. 141 (1991) 79-117.
-
(1991)
Commun. Math. Phys.
, vol.141
, pp. 79-117
-
-
Freed, D.S.1
Gompf, R.E.2
-
7
-
-
0041075797
-
Casson's invariant of Seifert homology 3-spheres
-
S. Fukuhara, Y. Matsumoto and K. Sakamoto, Casson's invariant of Seifert homology 3-spheres, Math. Ann. 287 (1990) 275-285.
-
(1990)
Math. Ann.
, vol.287
, pp. 275-285
-
-
Fukuhara, S.1
Matsumoto, Y.2
Sakamoto, K.3
-
8
-
-
11244292505
-
Difference equation of the colored Jones polynomial for the torus knot
-
K. Hikami, Difference equation of the colored Jones polynomial for the torus knot, Int. J. Math. 15 (2004) 959-965.
-
(2004)
Int. J. Math.
, vol.15
, pp. 959-965
-
-
Hikami, K.1
-
9
-
-
11244337993
-
Q-series and L-functions related to half-derivatives of the Andrews-Gordon identity
-
to appear in
-
_, q-series and L-functions related to half-derivatives of the Andrews-Gordon identity, to appear in Ramanujan J. (2004).
-
(2004)
Ramanujan J.
-
-
-
10
-
-
2142806648
-
Quantum invariant for torus link and modular forms
-
_, Quantum invariant for torus link and modular forms, Commun. Math. Phys. 246 (2004) 403-426.
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 403-426
-
-
-
11
-
-
17144439538
-
Torus knot and minimal model
-
K. Hikami and A. N. Kirillov, Torus knot and minimal model, Phys. Lett. B575 (2003) 343-348.
-
(2003)
Phys. Lett.
, vol.B575
, pp. 343-348
-
-
Hikami, K.1
Kirillov, A.N.2
-
13
-
-
0000440716
-
Chern-Simons-witten invariants of lens spaces and torus bundles, and the semiclassical approximation
-
L. C. Jeffrey, Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation, Commun. Math. Phys. 147 (1992) 563-604.
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 563-604
-
-
Jeffrey, L.C.1
-
14
-
-
84968518084
-
A polynomial invariant for knots via von Neumann algebras
-
V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985) 103-111.
-
(1985)
Bull. Amer. Math. Soc.
, vol.12
, pp. 103-111
-
-
Jones, V.F.R.1
-
15
-
-
0001673424
-
The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)
-
R. Kirby and P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C), Invent. Math. 105 (1991) 473-545.
-
(1991)
Invent. Math.
, vol.105
, pp. 473-545
-
-
Kirby, R.1
Melvin, P.2
-
16
-
-
0002124203
-
Dedekind sums, μ-invariants and the signature cocycle
-
_, Dedekind sums, μ-invariants and the signature cocycle, Math. Ann. 299 (1994) 231-267.
-
(1994)
Math. Ann.
, vol.299
, pp. 231-267
-
-
-
17
-
-
0000669016
-
Chern-Simons invariants of 3-manifolds and representation spaces of knot groups
-
P. A. Kirk and E. P. Klassen, Chern-Simons invariants of 3-manifolds and representation spaces of knot groups, Math. Ann. 287 (1990) 343-367.
-
(1990)
Math. Ann.
, vol.287
, pp. 343-367
-
-
Kirk, P.A.1
Klassen, E.P.2
-
18
-
-
0003911106
-
-
Grundlehren der Mathematischen Wissenschaften Springer, Berlin
-
S. Lang, Introduction to Modular Forms, Grundlehren der Mathematischen Wissenschaften, Vol. 222 (Springer, Berlin, 1976).
-
(1976)
Introduction to Modular Forms
, vol.222
-
-
Lang, S.1
-
19
-
-
21844485337
-
Asymptotic expansions of witten-reshetikhin-turaev invariants for some simple 3-manifolds
-
R. Lawrence, Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds, J. Math. Phys. 36 (1995) 6106-6129.
-
(1995)
J. Math. Phys.
, vol.36
, pp. 6106-6129
-
-
Lawrence, R.1
-
20
-
-
0001284488
-
Witten-reshetikhin-turaev invariants of 3-manifolds as holomorphic functions
-
J. E. Andersen, J. Dupont, H. Pedersen and A. Swann, Lecture Notes in Pure and Applied Mathematics, Dekker, New York
-
_, Witten-Reshetikhin-Turaev invariants of 3-manifolds as holomorphic functions, in Geometry and Physics, eds. J. E. Andersen, J. Dupont, H. Pedersen and A. Swann, Lecture Notes in Pure and Applied Mathematics, Vol. 184 (Dekker, New York, 1996), pp. 363-377.
-
(1996)
Geometry and Physics
, vol.184
, pp. 363-377
-
-
-
21
-
-
0033480012
-
On Ohtsuki's invariants of homology 3-spheres
-
_, On Ohtsuki's invariants of homology 3-spheres, J. Knot Theory Ramification 8 (1999) 1049-1063.
-
(1999)
J. Knot Theory Ramification
, vol.8
, pp. 1049-1063
-
-
-
22
-
-
0033245033
-
Witten-Reshetikhin-Turaev invariants of Seifert manifolds
-
R. Lawrence and L. Rozansky, Witten-Reshetikhin-Turaev invariants of Seifert manifolds, Commun. Math. Phys. 205 (1999) 287-314.
-
(1999)
Commun. Math. Phys.
, vol.205
, pp. 287-314
-
-
Lawrence, R.1
Rozansky, L.2
-
23
-
-
0012848870
-
Modular forms and quantum invariants of 3-manifolds
-
R. Lawrence and D. Zagier, Modular forms and quantum invariants of 3-manifolds, Asian J. Math. 3 (1999) 93-107.
-
(1999)
Asian J. Math.
, vol.3
, pp. 93-107
-
-
Lawrence, R.1
Zagier, D.2
-
24
-
-
0038012561
-
Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
-
T. T. Q. Le, Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion, Topology Appl. 127 (2003) 125-152.
-
(2003)
Topology Appl.
, vol.127
, pp. 125-152
-
-
Le, T.T.Q.1
-
25
-
-
0000269757
-
On the 3-dimensional brieskorn manifolds M(p, q, r)
-
L. P. Neuwirth, Papers Dedicated to the Memory of R. H. Fox. Princeton University Press
-
J. Milnor, On the 3-dimensional Brieskorn manifolds M(p, q, r), in Knots, Groups, and 3-Manifolds, ed. L. P. Neuwirth, Papers Dedicated to the Memory of R. H. Fox. (Princeton University Press, 1975), pp. 175-225.
-
(1975)
Knots, Groups, and 3-Manifolds
, pp. 175-225
-
-
Milnor, J.1
-
26
-
-
0001822390
-
Lattice points in a tetrahedron and generalized Dedekind sums
-
L. J. Mordell, Lattice points in a tetrahedron and generalized Dedekind sums, J. Indian Math. Soc. (NS) 15 (1951) 41-46.
-
(1951)
J. Indian Math. Soc. (NS)
, vol.15
, pp. 41-46
-
-
Mordell, L.J.1
-
27
-
-
84973963366
-
Quantum SU(2)-invariants dominate Casson's SU(2)-invariant
-
H. Murakami, Quantum SU(2)-invariants dominate Casson's SU(2)-invariant, Math. Proc. Cambridge Philos. Soc. 115 (1993) 253-281.
-
(1993)
Math. Proc. Cambridge Philos. Soc.
, vol.115
, pp. 253-281
-
-
Murakami, H.1
-
28
-
-
84973985319
-
Quantum SO(3) invariants dominate the SU(2) invariant of Casson and Walker
-
_, Quantum SO(3) invariants dominate the SU(2) invariant of Casson and Walker, Math. Proc. Cambridge Philos. Soc. 117 (1995) 237-249.
-
(1995)
Math. Proc. Cambridge Philos. Soc.
, vol.117
, pp. 237-249
-
-
-
29
-
-
84974220831
-
A polynomial invariant of integral homology 3-spheres
-
T. Ohtsuki, A polynomial invariant of integral homology 3-spheres, Math. Proc. Cambridge Philos. Soc. 117 (1995) 83-112.
-
(1995)
Math. Proc. Cambridge Philos. Soc.
, vol.117
, pp. 83-112
-
-
Ohtsuki, T.1
-
30
-
-
0030546896
-
A polynomial invariant of rational homology 3 spheres
-
_, A polynomial invariant of rational homology 3 spheres, Invent. Math. 123 (1996) 241-257.
-
(1996)
Invent. Math.
, vol.123
, pp. 241-257
-
-
-
31
-
-
0003805246
-
-
Grundlehren der Mathematischen Wissenschaften, Springer, New York
-
H. Rademacher, Topics in Analytic Number Theory, Grundlehren der Mathematischen Wissenschaften, Vol. 169 (Springer, New York, 1973).
-
(1973)
Topics in Analytic Number Theory
, vol.169
-
-
Rademacher, H.1
-
32
-
-
0003874349
-
-
Carus Mathematical Monographs, No. 16 Mathematical Association of America, Washington DC
-
H. Rademacher and E. Grosswald, Dedekind Sums, Carus Mathematical Monographs, No. 16 (Mathematical Association of America, Washington DC, 1972).
-
(1972)
Dedekind Sums
-
-
Rademacher, H.1
Grosswald, E.2
-
33
-
-
0542373499
-
Invariants of 3-manifolds via link polynomials and quantum groups
-
N. Yu. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547-597.
-
(1991)
Invent. Math.
, vol.103
, pp. 547-597
-
-
Reshetikhin, N.Yu.1
Turaev, V.G.2
-
34
-
-
21844507036
-
A large k asymptotics of witten's invariant of seifert manifolds
-
L. Rozansky, A large k asymptotics of Witten's invariant of Seifert manifolds, Commun. Math. Phys. 171 (1995) 279-322.
-
(1995)
Commun. Math. Phys.
, vol.171
, pp. 279-322
-
-
Rozansky, L.1
-
35
-
-
0030545491
-
A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds I
-
_, A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds I, Commun. Math. Phys. 175 (1996) 275-296.
-
(1996)
Commun. Math. Phys.
, vol.175
, pp. 275-296
-
-
-
36
-
-
0030548964
-
A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds II
-
_, A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds II, Commun. Math. Phys. 175 (1996) 297-318.
-
(1996)
Commun. Math. Phys.
, vol.175
, pp. 297-318
-
-
-
37
-
-
0030530947
-
Residue formulas for the large k asymptotics of witten's invariants of seifert manifolds: The case of SU(2)
-
_, Residue formulas for the large k asymptotics of Witten's invariants of Seifert manifolds: The case of SU(2), Commun. Math. Phys. 178 (1996) 27-60.
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 27-60
-
-
-
38
-
-
0030486493
-
Witten's invariants of rational homology spheres at prime values of K and trivial connection contribution
-
_, Witten's invariants of rational homology spheres at prime values of K and trivial connection contribution, Commun. Math. Phys. 180 (1996) 297-324.
-
(1996)
Commun. Math. Phys.
, vol.180
, pp. 297-324
-
-
-
39
-
-
0031541571
-
The trivial connection contribution to witten's invariant and finite type invariants of rational homology spheres
-
_, The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres, Commun. Math. Phys. 183 (1997) 23-54.
-
(1997)
Commun. Math. Phys.
, vol.183
, pp. 23-54
-
-
-
40
-
-
0031524343
-
Casson-Walker invariant of Seifert fibered rational homology spheres as quantum SO(3)-invariant
-
C. Sato, Casson-Walker invariant of Seifert fibered rational homology spheres as quantum SO(3)-invariant, J. Knot Theory Ramification 6 (1997) 79-93.
-
(1997)
J. Knot Theory Ramification
, vol.6
, pp. 79-93
-
-
Sato, C.1
-
42
-
-
0003763027
-
-
Annals of Mathematics Studies Princeton University Press, Princeton
-
K. Walker, An Extension of Casson's Invariant, Annals of Mathematics Studies, Vol. 126 (Princeton University Press, Princeton, 1992).
-
(1992)
An Extension of Casson's Invariant
, vol.126
-
-
Walker, K.1
-
43
-
-
14644388676
-
Quantum field theory and Jones' polynomial
-
E. Witten, Quantum field theory and Jones' polynomial, Commun. Math. Phys. 121 (1989) 351-399.
-
(1989)
Commun. Math. Phys.
, vol.121
, pp. 351-399
-
-
Witten, E.1
-
44
-
-
0001195414
-
Vassiliev invariants and a strange identity related to the dedekind eta-function
-
D. Zagier, Vassiliev invariants and a strange identity related to the Dedekind eta-function, Topology 40 (2001) 945-960.
-
(2001)
Topology
, vol.40
, pp. 945-960
-
-
Zagier, D.1
|