6 Citations
Analogues of Mathai–Quillen forms in sheaf cohomology and applications to topological field theory
- Mathematics
- 2015
Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
- Mathematics
- 1994
GENERALIZED MATHAI-QUILLEN TOPOLOGICAL SIGMA MODELS
- Physics
- 1996
A simple field theoretical approach to Mathai-Quillen topological field theories of maps X : MI→MT from an internal space to a target space is presented. As an example of applications of our…
Mathai-Quillen formulation of twisted N = 4 supersymmetric gauge theories in four dimensions
- Physics, Mathematics
- 1997
New Results in Topological Field Theory and Abelian Gauge Theory
- Mathematics
- 1995
These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. I review some recent work on duality in four dimensional Maxwell theory on arbitrary four…
N=2 topological gauge theory, the Euler characteristic of moduli spaces, and the Casson invariant
- Physics, Mathematics
- 1993
We discuss gauge theory with a topologicalN=2 symmetry. This theory captures the de Rham complex and Riemannian geometry of some underlying moduli space ℳ and the partition function equals the Euler…
Localization and Diagonalization: A Review of Functional Integral Techniques for Low-Dimensional Gauge Theories and Topological Field Theories
- Mathematics
- 1995
Localization techniques for functional integrals which have recently been used to perform calculations in and gain insight into the structure of certain topological field theories and low‐dimensional…
Localization, Equivariant Cohomology, and Integration Formulas
- Mathematics
- 1999
In this chapter we review the derivation of the DuistermaatHeckman integration formula and its path integral generalizations, and explain the underlying formalism of equivariant cohomology. We…
Seiberg—Witten and Physics
- Mathematics
- 1999
In this chapter we discuss a certain unified approach to different problems arising in Gauge Theory. The approach we present is well known in Theoretical Physics where most of the gauge theoretic…