Math @ Duke
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Publications [#348505] of Adam S. Levine
Papers Published
- Celoria, D; Golla, M; Levine, AS, Heegaard floer homology and concordance bounds on the Thurston norm,
Transactions of the American Mathematical Society, vol. 373 no. 1
(January, 2020),
pp. 295-318 [doi]
(last updated on 2025/05/10)
Abstract: We prove that twisted correction terms in Heegaard Floer homology provide lower bounds on the Thurston norm of certain cohomology classes determined by the strong concordance class of a 2-component link L in S3. We then specialise this procedure to knots in S2 × S1 and obtain a lower bound on their geometric winding number. We then provide an infinite family of null-homologous knots with increasing geometric winding number on which the bound is sharp.
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