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A new gauge slice for the relative Bauer-Furuta invariants

2014/01/31 by Tirasan Khandhawit
Mathematics · #math.DG #math.GT

paper · pdf · doi:10.2140/gt.2015.19.1631

published as Geom. Topol. 19 (2015) 1631-1655 · 18 pages. Minor revision according to referee's suggestion

arxiv created 2014/07/19 · arxiv updated 2015/06/03

Abstract

In this paper, we study Manolescu's construction of the relative Bauer-Furuta invariants arising from the Seiberg-Witten equations on 4-manifolds with boundary. The main goal is to introduce a new gauge fixing condition in order to apply the finite dimensional approximation technique. We also hope to provide a framework to extend Manolescu's construction to general 4-manifolds.

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