|
|
|
Литература
|
|
|
1. |
Verlinde E., “Fusion rules and modular transformations in $2D$ conformal field theory”, Nuclear Phys. B, 300 (1988), 360–376 |
2. |
Witten E., “On quantum gauge theories in two dimensions”, Comm. Math. Phys., 141 (1991), 153–209 |
3. |
Dijkgraaf R., Verlinde E., “Modular invariance and fusion algebra”, Nuclear Phys. B, 5 (1988), 87–97, Proc. Suppl. |
4. |
Новиков С. П., “Гамильтонов формализм и многозначный аналог теории Морса”, УМН, 37:5 (1982), 3–49 |
5. |
Witten E., “Non-abelian bosonization in two dimensions”, Comm. Math. Phys., 121:3 (1984), 455 |
6. |
Witten E., “Quantum field theory and Jones polynomial”, Comm. Math. Phys., 121:3 (1989), 351–399 |
7. |
Reshetikhin N. Yu., Quantized universal enveloping algebras, the Yang–Baxter equation
and invariants of links, I, Preprint LOMI, E-4-87 |
8. |
Reshetikhin N. Yu., Quantized universal enveloping algebras, the Yang-Baxter equation
and invariants of links, II, Preprint LOMI, E-4-87 |
9. |
Kirillov A. N. and Reshetikhin N. Yu., “Representations of algebra $U_q(Sl(2,C))$, $q$-orthogonal polynomials
and invariants of links”, Infinite-dimensional Lie algebras and groups, World Scientific, 1988, 285–342 |
10. |
Jones V. F. R., “A polynomial invariant for links via von Neumann algebras”, Bull. Amer. Math. Soc., 12 (1985), 103–110 |
11. |
Moore G., Seiberg N., “Polynomial equations for rational conformal field theories”, Phys. Lett. B, 212 (1988), 451. |
12. |
Moore G., Seiberg N., “Naturally in conformal field theory”, Nuclear Phys. B, 313 (1989), 16 |
13. |
Moore G., Seiberg N., “Classical and quantum conformal field theory”, Comm. Math. Phys., 123 (1989), 177–254 |
14. |
Делинь П., Милн Дж., Категории Танаки. Ходжевы циклы и мотивы, Мир, М., 1985 |
15. |
Mac Lane S., Categories for working mathematician, Springer, NY, 1971 |
16. |
Friedan D., Shenker S., “The analytic geometry of two-dimensional conformal field theory”, Nuclear Phys. B, 281 (1987), 509–545 |
17. |
Szenes A., Hilbert polynomials of moduli spaces of rank $2$ vector bundles, I, Preprint, Harvard |
18. |
Bertram A., Szenes A., Hilbert polynomials of moduli spaces of rank $2$ vector bundles, II, Preprint, Harvard |
19. |
Thaddeus M., Conformal field theory and the cohomology of the moduli space of
stable bundles, Preprint, Oxford |
20. |
Zagier D., Letter to R. Bott, 1991 |
21. |
Kac V. G., Infinite-dimensional Lie algebras, Cambridge Univ. Press, Cambridge, 1985 |
22. |
Kac V. G., Peterson D., “Infinite-dimensional Lie algebras, theta functions and modular forms”, Adv. in Math., 53 (1984), 125–264 |
23. |
Gepner D., Witten E., “String theory on Group manifolds”, Nuclear Phys. B, 278 (1986), 493–549 |
24. |
Kac V. G., Wakimoto M., “Modular and conformal invariance constraints in representation theory
of affine algebras”, Adv. Math., 40:1 (1988), 156–236 |
25. |
Tsuchia A., Kanie Y., “Vertex operators in conformal field theory on $P^1$ and monodromy
representations of braid group”, Adv. Stud. Pure Math., 16 (1988), 297–372 |
26. |
Alvarez-Gaume L., Sierra G., Gomez C., “Duality and quantum groups”, Nuclear Phys. B, 330 (1990), 347–398 |
27. |
Alvarez-Gaume L., Sierra G., Gomez C., “Topics in conformal field theory”, Physics and Mathematics of String, Memorial volume for Vadim Knizhnik, World Scientific, 1990, 16–184 |
28. |
Rosso M., “Finite-dimensional representations of the quantum analog of the
enveloping algebra of a complex simple Lie algebra”, Comm. Math. Phys., 117 (1988), 581–593 |
29. |
Keller G., “Fusion Rules of $U_q(Sl(2,C))$, $q^m=1$”, Lett. Math. Phys., 21 (1991), 273–286 |
30. |
Concini G. De. Kac V. G., “Representation of quantum group at roots of $1$”, Operator algebras, unitary representations, Enveloping algebras and
invariant theory, Progress in Math., 92, Birkhauser, Berlin, 1990, 473–506 |
31. |
Lusztig G., “Quantum groups at roots of $1$”, Geom. Dedicata, 35:1–3 (1990), 89–114 |