Premium
Another Proof for the Presentation of the Quantum Cohomology of the Moduli of Bundles over a Riemann Surface
Author(s) -
Muñoz Vicente
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609301008906
Subject(s) - mathematics , moduli space , riemann surface , cohomology , vector bundle , rank (graph theory) , pure mathematics , quantum cohomology , genus , equivariant cohomology , compact riemann surface , combinatorics , botany , biology
The presentation of the quantum cohomology of the moduli space of stable vector bundles of rank two and odd degree with fixed determinant over a Riemann surface of genus g > 2 is obtained. The argument avoids the use of gauge theory, providing an alternative proof to that given by the author in Duke Math. J. 98 (1999) 525–540. 2000 Mathematics Subject Classification 14N35 (primary); 14H60, 53D45 (secondary).