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Bibliographic Details
Main Author: Tomlin, Joshua
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.17141
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Table of Contents:
  • In ordinary Seiberg-Witten theory, there are well known connected sum formulae such as the vanishing formula and the blow up formula. For families Seiberg-Witten theory, there are results such as Liu's families blow-up formula and Baraglia-Konno's gluing formula, but these have limited uses. In this paper, we prove a general connected sum formula which incorporates these results. This is subsequent work to a previous paper [arXiv:2510.14201] in which we proved a connected sum formula for the Bauer-Furuta invariant.