Monopole Floer homology for rational homology 3-spheres
Kim A. Froyshov
TL;DR
This paper introduces a novel construction of monopole Floer homology tailored for spin-c rational homology 3-spheres, enabling the definition of new invariants for specific 4-manifolds with particular Betti number conditions.
Contribution
It presents a new approach to monopole Floer homology for rational homology 3-spheres and defines related invariants for certain 4-manifolds.
Findings
New construction of monopole Floer homology for rational homology 3-spheres
Definition of two invariants for specific 4-manifolds
Applications to smooth 4-manifold topology
Abstract
We give a new construction of monopole Floer homology for spin-c rational homology 3-spheres. As applications we define two invariants of certain smooth compact 4-manifolds with b_1=1 and b^+=0.
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