2020/06/07 by Ma, Langte
#53C07 #57K41 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2006.04197
We prove a surgery formula and an excision formula for the Furuta-Ohta invariant λFO defined on homology S1 × S3, which provides more evidence on its equivalence with the Casson-Seiberg-Witten invariant λSW. These formulae are applied to compute λFO of certain families of manifolds obtained as mapping tori under diffeomorphisms of 3-manifolds. In the course of the proof, we give a complete description of the degree-zero moduli space of ASD instantons on 4-manifolds of homology H_*(D2 × T2; ℤ) with a cylindrical end modeled on [0, ∞) × T3.