Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Joshua Evan Greene"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 6 (2018)
We study the chromatic number of the curve graph of a surface. We show that the chromatic number grows like $k\log k$ for the graph of separating curves on a surface of Euler characteristic $-k$. We also show that the graph of curves that represent a
Externí odkaz:
https://doaj.org/article/fd84568e874549e1896492508030f49e
Autor:
Joshua Evan Greene, Andrew Lobb
Publikováno v:
Annals of Mathematics, 2021, Vol.194(2), pp.509-517 [Peer Reviewed Journal]
For every smooth Jordan curve $\gamma$ and rectangle $R$ in the Euclidean plane, we show that there exists a rectangle similar to $R$ whose vertices lie on $\gamma$. The proof relies on Shevchishin's theorem that the Klein bottle does not admit a smo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::adece6ea478ffea9ba55201e51a7aaf4
https://doi.org/10.4007/annals.2021.194.2.4
https://doi.org/10.4007/annals.2021.194.2.4
Autor:
Joshua Evan Greene
Publikováno v:
Geometric and Functional Analysis. 29:1828-1843
We prove that on a closed, orientable surface of genus g, the maximum cardinality of a set of simple loops with the property that no two are homotopic or intersect in more than k points grows as a function of g like $$g^{k+1}$$, up to a factor of $$\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89c291159131067d3f5587abe894398f
https://doi.org/10.1007/s00039-019-00517-0
https://doi.org/10.1007/s00039-019-00517-0
Publikováno v:
Compositio Mathematica. 154:918-933
We characterize the $(1,1)$ knots in the 3-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non-trivial L-space surgeries. We also recover a characterization of the Berge manifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63115db1a19f2a2dde46d900ff72777b
https://doi.org/10.1112/s0010437x17007989
https://doi.org/10.1112/s0010437x17007989
Autor:
Joshua Evan Greene
Publikováno v:
Proceedings of the American Mathematical Society. 146:2707-2709
Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering iff L is an unlink. This result is originally due to Boyer-Gordon-Wat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::203f5599064cc1d0f9c1623ca221f509
https://doi.org/10.1090/proc/13704
https://doi.org/10.1090/proc/13704
Autor:
Joshua Evan Greene
Publikováno v:
Notices of the American Mathematical Society. 68:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54bed98c3622108f9ef91f1bdcd46c83
https://doi.org/10.1090/noti2194
https://doi.org/10.1090/noti2194
Autor:
Adam Simon Levine, Joshua Evan Greene
Publikováno v:
Algebr. Geom. Topol. 16, no. 6 (2016), 3167-3208
We study a class of 3-manifolds called strong L-spaces, which by definition admit a certain type of Heegaard diagram that is particularly simple from the perspective of Heegaard Floer homology. We provide evidence for the possibility that every stron
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ffa72e8ab771b078e3c64bcb36f7170
https://doi.org/10.2140/agt.2016.16.3167
https://doi.org/10.2140/agt.2016.16.3167
Autor:
Joshua Evan Greene
Publikováno v:
Advances in Mathematics. 255:672-705
We establish an obstruction to unknotting an alternating knot by a single crossing change. The obstruction is lattice-theoretic in nature, and combines Donaldson's diagonalization theorem with an obstruction developed by Ozsvath and Szabo using Heega
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9fe2cbb1f6a3a3cfea73eeb5b426e7a
https://doi.org/10.1016/j.aim.2014.01.018
https://doi.org/10.1016/j.aim.2014.01.018
Autor:
Joshua Evan Greene
Publikováno v:
Journal of Topology. 6:525-567
Given a diagram of a link K in S^3, we write down a Heegaard diagram for the branched-double cover Sigma(K). The generators of the associated Heegaard Floer chain complex correspond to Kauffman states of the link diagram. Using this model we make som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7847d58dd683ac612231f2c3fdef2328
https://doi.org/10.1112/jtopol/jtt007
https://doi.org/10.1112/jtopol/jtt007
Autor:
Joshua Evan Greene
Publikováno v:
J. Differential Geom. 100, no. 3 (2015), 491-506
We prove that if positive integer p-surgery along a knot K \subset S^3 produces an L-space and it bounds a sharp 4-manifold, then the knot genus obeys the bound 2g(K) -1 \leq p - \sqrt{3p+1}. Moreover, there exists an infinite family of pairs (K_n,p_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9045326d6cfe0d38633b1241ab3e2b23
https://doi.org/10.4310/jdg/1432842362
https://doi.org/10.4310/jdg/1432842362