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pro vyhledávání: '"Kyle Hayden"'
Autor:
Kyle Hayden
Publikováno v:
Compositio Mathematica. 155:413-423
We resolve parts (A) and (B) of Problem 1.100 from Kirby's list by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5dd15a19f0fbc8d9fe575c77a32222a
https://doi.org/10.1112/s0010437x19007012
https://doi.org/10.1112/s0010437x19007012
Publikováno v:
Advances in Mathematics. 391:107994
From a handlebody-theoretic perspective, the simplest compact, contractible 4-manifolds, other than the 4-ball, are Mazur manifolds. We produce the first pairs of Mazur manifolds that are homeomorphic but not diffeomorphic. Our diffeomorphism obstruc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48d00d35b31a42baa8fc595dbff4e4ba
https://doi.org/10.1016/j.aim.2021.107994
https://doi.org/10.1016/j.aim.2021.107994
Autor:
Kyle Hayden
We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5032dff1f2a835498387d6dd0a89b801
Autor:
Kyle Hayden
We show that every quasipositive link has a quasipositive minimal braid representative, partially resolving a question posed by Orevkov. These quasipositive minimal braids are used to show that the maximal self-linking number of a quasipositive link
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e430ee52a50d9f1b447d7f92c3859cff
We construct infinitely many Legendrian links in the standard contact $\mathbb{R}^3$ with arbitrarily many topologically distinct Lagrangian fillings. The construction is used to find links in $S^3$ that bound topologically distinct pieces of algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36f6d69759bcc55c1c5e82a459244f71
http://arxiv.org/abs/1307.7998
http://arxiv.org/abs/1307.7998
Autor:
Joshua M. Sabloff, Kyle Hayden
This paper explores the relationship between the existence of an exact embedded Lagrangian filling for a Legendrian knot in the standard contact $\rr^3$ and the hierarchy of positive, strongly quasi-positive, and quasi-positive knots. On one hand, re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01312058c55d48c55e23621f6b93893b
http://arxiv.org/abs/1307.7683
http://arxiv.org/abs/1307.7683