Zobrazeno 1 - 10
of 168
pro vyhledávání: '"Etnyre, John B."'
We characterize when some small Seifert fibered spaces can be the convex boundary of a symplectic rational homology ball and give strong restrictions for others to bound such manifolds. As part of this, we show that the only spherical $3$-manifolds t
Externí odkaz:
http://arxiv.org/abs/2408.09292
In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classify all non-loose rational unknots in lens spaces, and discuss conditio
Externí odkaz:
http://arxiv.org/abs/2310.04908
We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embeddings of rational homology balls in $\mathbb{C}\mathrm{P}^2$, and the
Externí odkaz:
http://arxiv.org/abs/2305.16207
We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on $S^3$.
Comment: 106 pages, 26 figures
Comment: 106 pages, 26 figures
Externí odkaz:
http://arxiv.org/abs/2206.14848
We give a classification of Legendrian torus links. Along the way, we give the first classification of infinite families of Legendrian links where some smooth symmetries of the link cannot be realized by Legendrian isotopies. We also give the first f
Externí odkaz:
http://arxiv.org/abs/2107.12323
In this paper we will show how to classify Legendrian and transverse knots in the knot type of "sufficiently positive" cables of a knot in terms of the classification of the underlying knot. We will also completely explain the phenomena of "Legendria
Externí odkaz:
http://arxiv.org/abs/2012.12148
Autor:
Etnyre, John B., Roy, Agniva
We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling $X$ of a virtually overtwisted contact structure on $L(p,q)$ has another symplectic structure that fi
Externí odkaz:
http://arxiv.org/abs/2006.16687
Publikováno v:
Journal of Symplectic Geometry 21 (2023), no. 4, 638-721
Iterated planar contact manifolds are a generalization of three dimensional planar contact manifolds to higher dimensions. We study some basic topological properties of iterated planar contact manifolds and discuss several examples and constructions
Externí odkaz:
http://arxiv.org/abs/2006.02940
Autor:
Etnyre, John B., Tosun, Bülent
In this paper, we collect various structural results to determine when an integral homology $3$--sphere bounds an acyclic smooth $4$--manifold, and when this can be upgraded to a Stein manifold. In a different direction we study whether smooth embedd
Externí odkaz:
http://arxiv.org/abs/2004.07405
Autor:
Etnyre, John B., Golla, Marco
We study relative symplectic cobordisms between contact submanifolds, and in particular relative symplectic cobordisms to the empty set, that we call hats. While we make some observations in higher dimensions, we focus on the case of transverse knots
Externí odkaz:
http://arxiv.org/abs/2001.08978