A general connected sum formula for the families Seiberg-Witten invariant
Differential Geometry
2025-10-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2510.17141,
title = {A general connected sum formula for the families Seiberg-Witten invariant},
author = {Joshua Tomlin},
journal= {arXiv preprint arXiv:2510.17141},
year = {2025}
}