Bohr-sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula

Lisa C. Jeffrey; Jonathan Weitsman

doi:10.1007/bf02096964

journal article Dec 01, 1992

Bohr-sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula

Lisa C. Jeffrey Jonathan Weitsman

Communications in Mathematical Physics Vol. 150 No. 3 pp. 593-630 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf02096964

Topics

No keywords indexed for this article. Browse by subject →

References

17

[1]

Atiyah, M.: Convexity and commuting Hamiltonians. Bull. Lond. Math. Soc.14, 1 (1981) 10.1112/blms/14.1.1

[2]

Atiyah, M., Bott, R.: The Yang-Mills equations over a Riemann surface. Phil. Trans. Roy. Soc. A308, 523 (1982) 10.1098/rsta.1983.0017

[3]

Duistermaat, J.J.: On global action-angle coordinates. Commun. Pure Appl. Math.XXXII, 687 (1980) 10.1002/cpa.3160330602

[4]

Goldman, W.: Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Invent. Math.85, 263 (1986) 10.1007/bf01389091

[5]

Guillemin, V., Sternberg, S.: Convexity properties of the moment mapping. Invent. Math.67, 491 (1982) 10.1007/bf01398933

[6]

The Gelfand-Cetlin system and quantization of the complex flag manifolds

V Guillemin, S Sternberg

Journal of Functional Analysis 1983 10.1016/0022-1236(83)90092-7

[7]

Helgason, S.: Differential geometry, Lie groups and symmetric spaces. New York: Academic Press 1978

[8]

Jeffrey, L.C.: Oxford University D. Phil. Thesis (1991)

[9]

Jeffrey, L.C., Weitsman, J.: Half-density quantization of the moduli-space of flat connections and Witten's semiclassical manifold invariants. Institute for Advanced Study Preprint IASSNS-HEP-91/94; Topology, to appear

[10]

Jeffrey, L.C., Weitsman, J.: Toric structures on the moduli space of flat connections on a Riemann surface: volumes and the moment map. Institute for Advanced Study Preprint IASSNS-HEP-92/25

[11]

Ramadas, T., Singer, I.M., Weitsman, J.: Some comments on Chern-Simons gauge theory. Commun. Math. Phys.126, 409 (1989) 10.1007/bf02125132

[12]

Sniatycki, J.: Geometric quantization and quantum mechanics. Berlin, Heidelberg, New York: Springer 1987

[13]

Sniatycki, J.: On cohomology groups appearing in geometric quantization. In Differential geometrical methods in mathematical physics. Lect. Notes in Math.570, pp. 46–66. Berlin, Heidelberg, New York: Springer 1977 10.1007/bfb0087781

[14]

Verlinde, E.: Fusion rules and modular transformations in 2d conformal field theory. Nucl. Phys. B300, 351 (1988) 10.1016/0550-3213(88)90603-7

[15]

Weitsman, J.: Real polarization of the moduli space of flat connections on a Riemann surface. Commun. Math. Phys.145, 425 (1992) 10.1007/bf02099391

[16]

Weitsman, J.: Quantization via real polarization of the moduli space of flat connections and Chern-Simons gauge theory in genus one. Commun. Math. Phys.137, 175 (1991) 10.1007/bf02099122

[17]

Witten, E.: On Quantum gauge theories in two dimensions. Commun. Math. Phys.140, 153 (1991) 10.1007/bf02100009

Metrics

74

Citations

17

References

Details

Published: Dec 01, 1992
Vol/Issue: 150(3)
Pages: 593-630
License: View

Authors

Cite This Article

Lisa C. Jeffrey, Jonathan Weitsman (1992). Bohr-sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula. Communications in Mathematical Physics, 150(3), 593-630. https://doi.org/10.1007/bf02096964

Bohr-sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula

You May Also Like