9403567 Weitsman The research entails the symplectic geometry of moduli spaces associated with Riemann surfaces. The focus will be on the use of methods from the the theory of toric varieties to study moduli spaces of vector bundles and certain conjectures concerning the moduli of curves. It is also planned to study the relation between the symplectic geometry of the moduli space of vector bundles and certain 3-manifold invariants. The research has potential applications to other areas of mathematics and also to quantum gravity and string theory in mathematical physics. ***

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9403567
Program Officer
Kichoon Yang
Project Start
Project End
Budget Start
1994-07-01
Budget End
1997-06-30
Support Year
Fiscal Year
1994
Total Cost
$49,149
Indirect Cost
Name
Columbia University
Department
Type
DUNS #
City
New York
State
NY
Country
United States
Zip Code
10027