Casson invariants via virtual counting

Abstract

This is a research announcement on an alternative definition of the Casson invariants by means of virtual counting of the moduli space of irreducible representations of the fundamental group into $\SU(2)$. Along the way, by using derived differential geometry, we propose a general framework to obtain invariants from Chern-Simons type gauge theories.

13 pages

References in corpus (3)

• Smooth Kuranishi atlases with isotropy
• The polyfold--Kuranishi correspondence I: A choice-independent theory of Kuranishi structures
• Homotopy L-infinity spaces

Cited by in corpus (1)

• Derived symplectic geometry