ALMOST SIMPLE LINEAR GRAPHS, HOMOLOGY COBORDISM AND CONNECTED HEEGAARD FLOER HOMOLOGY
ACTA MATHEMATICA HUNGARICA, vol.168, no.2, pp.454-489, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 168 Issue: 2
- Publication Date: 2022
- Doi Number: 10.1007/s10474-022-01280-9
- Journal Name: ACTA MATHEMATICA HUNGARICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.454-489
- Middle East Technical University Affiliated: No
Abstract
Continuing our previous work in [23], we effectively compute connected Heegaard Floer homologies of two families of Brieskorn spheres realized as the boundaries of almost simple linear graphs. Using Floer theoretic invariants of Dai, Hom, Stoffregen, and Truong [6], we show that these Brieskorn spheres also generate infinite rank summands in the homology cobordism group. Our computations also have applications to the concordance of classical knots and 0-concordance of 2-knots.