Heegaard Floer homology of some Mazur type manifolds
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Publication:3190403
DOI10.1090/S0002-9939-2014-12149-6zbMATH Open1305.57049arXiv1204.3862OpenAlexW2008463732MaRDI QIDQ3190403
Author name not available (Why is that?)
Publication date: 17 September 2014
Published in: (Search for Journal in Brave)
Abstract: We show that an infinite family of contractible 4-manifolds have the same boundary as a special type of plumbing. Consequently their Ozsvath--Szabo invariants can be calculated algorithmically. We run this algorithm for the first few members of the family and list the resulting Heegaard--Floer homologies. We also show that the rank of the Heegaard--Floer homology can get arbitrary large values in this family by using its relation with the Casson invariant. For comparison, we list the ranks of Floer homologies of all the examples of Briekorn spheres that are known to bound contractible manifolds.
Full work available at URL: https://arxiv.org/abs/1204.3862
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