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  Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology

Karakurt, Ç., & Şavk, O. (2022). Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology. Acta Mathematica Hungarica, 168(2), 454-489. doi:10.1007/s10474-022-01280-9.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000C-0238-3 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-6AA3-2
Genre: Journal Article

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 Creators:
Karakurt, Çağrı, Author
Şavk, Oğuz1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology
 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.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 36
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2204.06597
DOI: 10.1007/s10474-022-01280-9
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Title: Acta Mathematica Hungarica
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 168 (2) Sequence Number: - Start / End Page: 454 - 489 Identifier: -