Instanton Floer homology for lens spaces

Hirofumi Sasahira

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

Floer constructed instanton homology for integral homology three-spheres. In this paper, we extend instanton Floer homology to lens spaces L(p, q). Moreover we show a gluing formula for a variant of Donaldson invariant along lens spaces. As an application, we prove that X= ℂℙ2#ℂℙ2 does not admit a decomposition X=X1∪X2. Here X1 and X2 are oriented, simply connected, non-spin four-manifolds with b+ = 1 and with boundary L(p, 2), and p is a prime number of the form 16N + 1.

Original languageEnglish
Pages (from-to)237-281
Number of pages45
JournalMathematische Zeitschrift
Volume273
Issue number1-2
DOIs
Publication statusPublished - Jan 1 2013

Fingerprint

Floer Homology
Lens Space
Instantons
Homology
Four-manifolds
Gluing
Prime number
Decompose
Invariant
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Instanton Floer homology for lens spaces. / Sasahira, Hirofumi.

In: Mathematische Zeitschrift, Vol. 273, No. 1-2, 01.01.2013, p. 237-281.

Research output: Contribution to journal › Article

Sasahira, H 2013, 'Instanton Floer homology for lens spaces', Mathematische Zeitschrift, vol. 273, no. 1-2, pp. 237-281. https://doi.org/10.1007/s00209-012-1003-2
Sasahira H. Instanton Floer homology for lens spaces. Mathematische Zeitschrift. 2013 Jan 1;273(1-2):237-281. https://doi.org/10.1007/s00209-012-1003-2
Sasahira, Hirofumi. / Instanton Floer homology for lens spaces. In: Mathematische Zeitschrift. 2013 ; Vol. 273, No. 1-2. pp. 237-281.
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