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Advances in Mathematics

Volumn 168, Issue 2, 2002, Pages 133-192

Trace functionals on noncommutative deformations of moduli spaces of flat connections

(2) Roche, Philippe a Szenes, András b

a UNIVERSITÉ MONTPELLIER II (France)

b MASSACHUSETTS INSTITUTE OF TECHNOLOGY (United States)

Author keywords

Formal deformations; Moduli spaces; Quantum groups

Indexed keywords

EID: 0037173148 PISSN: 00018708 EISSN: None Source Type: Journal
DOI: 10.1006/aima.2001.2045 Document Type: Article

Times cited : (14)

References (45)

1
- 0000979746
- Yang-Mills equations over Riemann surfaces
- 1505 no
- (1983) Philos. Trans. Roy. Soc. London Ser. A , vol.308 , pp. 523-615
- Atiyah, M.¹ Bott, R.²

2
- 0001425208
- Universal solutions of quantum Yang-Baxter equations
- (1998) Lett. Math. Phys , vol.44 , pp. 201-214
- Arnaudon, D.¹ Buffenoir, E.² Ragoucy, E.³ Roche, Ph.⁴

3
- 0039902474
- Combinatorial Quantization of the Hamiltonian Chern-Simons Theory I
- (1995) Comm. Math. Phys , vol.172 , pp. 317-358
- Alekseev, A.Y.¹ Grosse, H.² Schomerus, V.³

4
- 0030542947
- Combinatorial quantization of the Hamiltonian Chern-Simons theory II
- (1995) Comm. Math. Phys , vol.174 , pp. 561-604
- Alekseev, A.Y.¹ Grosse, H.² Schomerus, V.³

5
- 0030268750
- The Poisson structure on the moduli space of flat connections and chord diagrams
- (1996) Topology , vol.35 , pp. 1069-1083
- Andersen, J.¹ Mattes, J.² Reshetikhin, N.³

6
- 22444455214
- Quantization of the algebra of chord diagrams
- (1998) Math. Proc. Cambridge Philos. Soc , vol.124 , pp. 451-467
- Andersen, J.¹ Mattes, J.² Reshetikhin, N.³

7
- 0002982377
- Vector bundles on curves and generalized theta functions: Recent results and open problems
- Cambridge Univ. Press, Cambridge, UK, (Preprint: alg-geom/9404001)
- (1995) "Math. Sci. Res. Inst. Publ." , vol.28 , pp. 17-33
- Beauville, A.¹

8
- 0000986131
- Variations of moduli of parabolic bundles
- (1995) Math. Ann , vol.301 , pp. 539-559
- Boden, H.¹ Yi Hu, A.²

9
- 85031455031
- Symplectic geometry and the Verlinde formulas, preprint, Université de Paris-Sud
- (1998)
- Bismut, J.-M.¹ Labourie, F.²

10
- 0032210256
- Topological interpretations of lattice gauge field theory
- (1998) Comm. Math. Phys , vol.198 , pp. 47-81
- Bullock, E.¹ Frohman, C.² Kania-Bartoszyńska, J.³

11
- 85031458768
- The Yang-Mills measure in the Kauffman bracket skein module, preprint, math. GT/0005218
- Bullock, E.¹ Frohman, C.² Kania-Bartoszyńska, J.³

12
- 21844475730
- Two dimensional lattice gauge theory based on a quantum group
- (1995) Comm. Math. Phys , vol.170 , pp. 669-698
- Buffenoir, E.¹ Roche, Ph.²

13
- 0000099241
- Link invariants and combinatorial quantization of Hamiltonian Chern Simons theory
- (1996) Comm. Math. Phys , vol.181 , pp. 331-365
- Buffenoir, E.¹ Roche, E.²

14
- 85031462497
- "Quantum Groups"
- Cambridge Univ. Press, Cambridge, UK
- (1994)
- Chari, V.¹ Pressley, A.²

15
- 0000074913
- Déformations de l'algèbre des fonctions d'une variété symplectique: Comparaison entre Fedosov et De Wilde. Lecomte
- (1995) Selecta Math. (N.S.) , vol.1 , pp. 667-697
- Deligne, P.¹

16
- 0000898844
- Existence of star-Products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- (1983) Lett. Math. Phys , vol.7 , pp. 487-496
- De Wilde, M.¹ Lecomte, P.²

17
- 0000491290
- Algebraic integrability of Macdonald operators and representation theory of quantum groups
- preprint, math.QA/9603022
- (1998) Comp. Math , vol.114 , pp. 125-152
- Etingof, P.¹ Styrkas, K.²

18
- 0033240865
- Exchange dynamical quantum groups
- preprint, math.QA/9801135
- (1999) Comm. Math. Phys , vol.205 , pp. 19-52
- Etingof, P.¹ Varchenko, A.²

19
- 85031453239
- Traces of intertwining operators for quantum groups and difference equations I, preprint, math.QA/9907181
- Etingof, P.¹ Varchenko, A.²

20
- 85031456346
- Dynamical Weyl groups and applications, math.QA/0011001
- Etingof, P.¹ Varchenko, A.²

21
- 0003780476
- "Deformation Quantization and Index Theory"
- Mathematical Topics, Akademie Verlag, Berlin
- (1996) , vol.9
- Fedosov, B.¹

22
- 0003149243
- Poisson structures on moduli space of flat connections on Riemann surfaces and the r-matrices
- "Moscow Seminar in Math. Physics" q-alg/9802054
- (1999) Amer. Math. Soc. Transl. Ser , vol.2 , Issue.191 , pp. 67-86
- Fock, V.V.¹ Rosly, A.A.²

23
- 0002165165
- Star products on prequantizable symplectic manifolds
- (1995) Lett. Math. Phys , vol.35 , pp. 85-89
- Guillemin, V.¹

24
- 0003344023
- "Basic Hypergeometric Series"
- Cambridge Univ. Press, Cambridge, UK
- (1990) Encyclopedia of Mathematics and Its Applications , vol.35
- Gasper, G.¹ Rahman, R.²

25
- 0032347790
- Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
- (1998) Ann. Math , vol.148 , pp. 109-196
- Jeffrey, L.C.¹ Kirwan, F.C.²

26
- 85031452849
- Identification of Berezin-Toeplitz deformation quantization, preprint, math.QA/00006063
- Karabegov, A.V.¹ Schlichenmaier, M.²

27
- 0003356644
- "Quantum Groups"
- Springer-Verlag, Berlin/New York
- (1995)
- Kassel, C.¹

28
- 85031452786
- Deformation quantization of Poisson manifolds, I, preprint, math.QA/9709040
- Kontsevich, M.¹

29
- 0030300399
- Heat kernel and moduli spaces I.-II
- Math. Res. Lett. 4 (1997), 569-588
- (1996) Math. Res. Lett , vol.3 , pp. 743-762
- Liu, K.¹

30
- 0001188713
- Hamiltonian loop group actions and Verlinde factorization
- (1998) J. Differential Geom , vol.50 , pp. 417-469
- Meinrenken, E.¹ Woodward, C.²

31
- 21844495985
- Algebraic index theorem
- (1995) Comm. Math. Phys , vol.172 , pp. 223-262
- Nest, R.¹ Tsygan, B.²

32
- 0009763573
- On 2D Yang-Mills theory and invariants of links
- "Deformation Theory and Symplectic Geometry Ascona, " Kluwer Academic, Dordrecht
- (1996) Math. Phys. Stud , vol.20 , pp. 223-248
- Polyak, M.¹ Reshetikhin, N.²

33
- 34249960869
- Ribbon Graphs and their invariants derived from quantum groups
- (1990) Comm. Math. Phys , vol.127 , pp. 1-26
- Reshetikhin, N.¹ Turaev, V.²

34
- 0002589236
- The combinatorics of the Verlinde formulas
- "Vector Bundles in Algebraic Geometry, Durham 1993," Cambridge Univ. Press, Cambridge, UK London Math. Soc. Lecture Notes Ser
- (1995) , vol.208
- Szenes, A.¹

35
- 1842637408
- Iterated residues and multiple Bernoulli polynomials
- (1998) Internat. Math. Res. Notices , vol.18
- Szenes, A.¹

36
- 85031462094
- A residue theorem for trigonometric sums and Verlinde's formula, preprint, math.CO/0109038
- Szenes, A.¹

37
- 85031461441
- The quantization conjecture revisited, preprint, math.AG/9808029
- Teleman, C.¹

38
- 0030531127
- Geometric invariant theory and flips
- (1996) J. Amer. Math. Soc , vol.9 , pp. 691-723
- Thaddeus, M.¹

39
- 85031459943
- Difference equations compatible with trigonometric KZ differential equations, preprint, math.QA/0002132
- Tarasov, V.¹ Varchenko, A.²

40
- 0013185606
- Algebras of loops on surfaces, algebras of knots, and quantization
- "Braid Group, Knot Theory and Statistical Mechanics, II," World Scientific, River Edge, NJ
- (1994) Adv. Ser. Math. Phys , vol.17 , pp. 324-360
- Turaev, V.¹

41
- 45549111952
- Fusion rules and moduli transformations in 2D conformal field theory
- (1988) Nuclear Phys. B , vol.300 , pp. 360-376
- Verlinde, E.¹

42
- 0000969654
- Deformation quantization
- 1993-1994 "Séminaire Bourbaki"
- (1995) Asterisque , pp. 227
- Weinstein, A.¹

43
- 0001557267
- Hochschild cohomology and characteristic classes for star-products, Geometry of differential equations
- (1998) Amer. Math. Soc. Transl. Ser , vol.2 , Issue.186 , pp. 177-194
- Weinstein, A.¹ Ping Xu, A.²

44
- 0003957510
- "A Course of Modern Analysis"
- Cambridge Mathematical Library, Cambridge Univ. Press, Cambridge, UK
- (1996)
- Whittaker, E.T.¹ Watson, G.N.²

45
- 0242310336
- On quantum gauge theories in two dimensions
- (1991) Comm. Math. Phys , vol.141 , pp. 153-209
- Witten, E.¹

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