Duke Mathematical Journal

Monopole Floer homology for rational homology 3-spheres

Kim A. Frøyshov

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Abstract

We give a new construction of monopole Floer homology for $\text{spin}^c$ rational homology $3$-spheres. As applications, we define two invariants of certain $4$-manifolds with $b_1=1$ and $b^+=0$.

Article information

Source
Duke Math. J. Volume 155, Number 3 (2010), 519-576.

Dates
First available in Project Euclid: 16 November 2010

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1289916772

Digital Object Identifier
doi:10.1215/00127094-2010-060

Mathematical Reviews number (MathSciNet)
MR2738582

Subjects
Primary: 57R58: Floer homology
Secondary: 57R57: Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]

Citation

Frøyshov, Kim A. Monopole Floer homology for rational homology 3-spheres. Duke Math. J. 155 (2010), no. 3, 519--576. doi:10.1215/00127094-2010-060. http://projecteuclid.org/euclid.dmj/1289916772.


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