3 papers
math.DG2024
Dimension Reduction of Generalized ASD Instantons
Dylan Galt, Langte Ma
We study generalized anti-self-dual instantons defined over Riemannian manifolds equipped with a parallel codimension- differential form. In particular, for product Riemannian m…
math.GT2019
Fiber Sum Formulae for the Casson-Seiberg-Witten Invariant of Integral Homology
Langte Ma
We prove the additivity of the Casson-Seiberg-Witten invariant of integral homology under fiber sum along embedded curves and embedded tori, which is the -dimen…
math.GT2019
A Surgery Formula for the Casson-Seiberg-Witten Invariant of Integral Homology
Langte Ma
We prove a surgery formula of the Casson-Seiberg-Witten invariant of integral homology along an embedded torus, which could either be regarded as an extension of t…