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

Masashi Ishida; Hirofumi Sasahira

doi:10.1142/S0129167X15410049

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 journal › Article › peer-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 language	English
Article number	1541004
Journal	International Journal of Mathematics
Volume	26
Issue number	6
DOIs	https://doi.org/10.1142/S0129167X15410049
Publication status	Published - Jun 16 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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.",

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