Talk page
Title:
Seiberg-Witten monopoles with multiple spinors on a surface times a circle
Speaker:
Abstract:
I will discuss a generalisation of the 3-dimensional Seiberg-Witten equations which was introduced by Haydys and Walpuski in relation to the problem of defining the Casson invariant of G2-manifolds. The main difference from the classical setting is the lack of compactness, caused by so-called Fueter sections. In my talk I will explain how to tackle this problem and count the solutions in the special case when the underlying 3-manifold is the product of a Riemann surface and a circle. The main ingredient is a holomorphic description of the moduli space of solutions and its compactification. It allows us to relate our problem to classical results on theta divisors and stable bundles over complex curves.
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