128 citations · 577 across the 43 of their papers we have counts for
4 papers · 2 filters
Cornered Heegaard Floer homology
Christopher L. Douglas, Robert Lipshitz, Ciprian Manolescu
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a…
The Conley index, gauge theory, and triangulations
Ciprian Manolescu
This is an expository paper about Seiberg-Witten Floer stable homotopy types. We outline their construction, which is based on the Conley index and finite dimensional approximation…
On the intersection forms of spin four-manifolds with boundary
Ciprian Manolescu
We prove Furuta-type bounds for the intersection forms of spin cobordisms between homology 3-spheres. The bounds are in terms of a new numerical invariant of homology spheres, obta…
Pin(2)-equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
Ciprian Manolescu
We define Pin(2)-equivariant Seiberg-Witten Floer homology for rational homology 3-spheres equipped with a spin structure. The analogue of Froyshov's correction term in this settin…