Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants

Autor:	Qiu, Haochen
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena. Comment: arXiv admin note: substantial text overlap with arXiv:2409.02265
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.10392 Zobrazit plný text záznamu View this record from Arxiv