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Periodic Index Theory and Equivariant Torus Signature
Langte Ma
We deduce an index jump formula for first order elliptic complexes over end-periodic manifolds, which generalizes the corresponding result for the DeRham complex. In the case of th…
Surgery and Excision for Furuta-Ohta invariants on Homology
Langte Ma
We prove a surgery formula and an excision formula for the Furuta-Ohta invariant defined on homology , which provides more evidence on its equivalence with…
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…
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…