We use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology sphere equipped with a spin structure and is analogous to Stoffregen's connected Seiberg-Witten Floer homology. We use this invariant to study the structure of the homology cobordism group and, along the way, compute the involutive correction terms and for certain families of three-manifolds.
|Original language||English (US)|
|Number of pages||38|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - Jan 2021|
All Science Journal Classification (ASJC) codes
- 2010 Mathematics subject classification 57M27 57M58