Genus One Cobordisms Between Torus Knots

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We determine the pairs of torus knots that have a genus one cobordism between them, with one notable exception. This is done by combining obstructions using ν+ from the Heegaard Floer knot complex and explicit constructions of cobordisms. As an application, we determine the pairs of torus knots related by a single crossing change. Also, we determine the pairs of Thurston–Bennequin number maximizing Legendrian torus knots that have a genus one exact Lagrangian cobordism, with one exception.
Publisher
OXFORD UNIV PRESS
Issue Date
2021-01
Language
English
Article Type
Article
Citation

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2021, no.1, pp.521 - 548

ISSN
1073-7928
DOI
10.1093/imrn/rnaa027
URI
http://hdl.handle.net/10203/280014
Appears in Collection
MA-Journal Papers(저널논문)
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