Autor:	Feller, Peter, Park, JungHwan
Rok vydání:	2019
Předmět:	Mathematics - Geometric Topology 57M25 57M27 57N70
Druh dokumentu:	Working Paper
DOI:	10.1093/imrn/rnaa027
Popis:	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 $\nu^+$ 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. Comment: 20 pages, 12 figures. V3: Minor corrections and implementation of referee's recommendations. This version has been accepted for publication by IMRN
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.01672 Zobrazit plný text záznamu View this record from Arxiv