25th NRW Topology Meeting

Speaker: Andriy Haydys

Title: Topology of the blow-up set for the Seiberg-Witten equations with multiple spinors

Abstract:

Unlike in the case of the classical Seiberg-Witten equations, the moduli space of the Seiberg-Witten monopoles with multiple spinors does not need to be compact. More precisely, a sequence of the Seiberg-Witten monopoles with multiple spinors may converge after a suitable rescaling only on the complement of a subset Z, which I call the blow-up set. I will present some recent results on the topology of Z.