Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number, I: Non-vanishing theorem

Masashi Ishida, Hirofumi Sasahira

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We shall prove a new non-vanishing theorem for the stable cohomotopy Seiberg-Witten invariant [S. Bauer and M. Furuta, Stable cohomotopy refinement of Seiberg-Witten invariants: I, Invent. Math.155 (2004) 1-19; S. Bauer, Stable cohomotopy refinement of Seiberg-Witten invariants: II, Invent. Math.155 (2004) 21-40.] of connected sums of 4-manifolds with positive first Betti number.

Original languageEnglish
Article number1541004
JournalInternational Journal of Mathematics
Volume26
Issue number6
DOIs
Publication statusPublished - 2015 Jun 16

Keywords

  • Seiberg-Witten equations
  • spin structures
  • stable cohomotopy groups

ASJC Scopus subject areas

  • Mathematics(all)

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