Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Thomas E. Mark"'
Publikováno v:
ACS Central Science, Vol 10, Iss 11, Pp 2162-2170 (2024)
Externí odkaz:
https://doaj.org/article/bfd7b7a2ec0348068e826892ac09c5ce
Autor:
Bülent Tosun, Thomas E. Mark
We consider constraints on the topology of closed 3-manifolds that can arise as hypersurfaces of contact type in standard symplectic $R^4$. Using an obstruction derived from Heegaard Floer homology we prove that no Brieskorn homology sphere admits a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50457dea844e3c49f799647814f997d6
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:
Bülent Tosun, Thomas E. Mark
Publikováno v:
Journal of Differential Geometry
J. Differential Geom. 110, no. 2 (2018), 281-344
J. Differential Geom. 110, no. 2 (2018), 281-344
For a nullhomologous Legendrian knot in a closed contact 3-manifold Y we consider a contact structure obtained by positive rational contact surgery. We prove that in this situation the Heegaard Floer contact invariant of Y is mapped by a surgery cobo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed9c04b086800ccdb22bca13083171f6
https://hdl.handle.net/21.11116/0000-0003-C51E-E21.11116/0000-0003-C51F-D21.11116/0000-0003-C51C-0
https://hdl.handle.net/21.11116/0000-0003-C51E-E21.11116/0000-0003-C51F-D21.11116/0000-0003-C51C-0
Autor:
Peter Eastman, Pavan Kumar Behara, David L. Dotson, Raimondas Galvelis, John E. Herr, Josh T. Horton, Yuezhi Mao, John D. Chodera, Benjamin P. Pritchard, Yuanqing Wang, Gianni De Fabritiis, Thomas E. Markland
Publikováno v:
Scientific Data, Vol 10, Iss 1, Pp 1-11 (2023)
Abstract Machine learning potentials are an important tool for molecular simulation, but their development is held back by a shortage of high quality datasets to train them on. We describe the SPICE dataset, a new quantum chemistry dataset for traini
Externí odkaz:
https://doaj.org/article/777e27c4ba50416380442bf4a396eb72
Autor:
Bülent Tosun, Thomas E. Mark
A conjecture due to Gompf asserts that no nontrivial Brieskorn homology sphere admits a pseudoconvex embedding in ${\mathbb C}^2$, with either orientation. A related question asks whether every compact contractible 4-manifold admits the structure of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68ac4a7b878b8388e0654d56f6799043
http://arxiv.org/abs/1603.07710
http://arxiv.org/abs/1603.07710
Autor:
Thomas E. Mark, Stanislav Jabuka
Publikováno v:
Advances in Mathematics. 218(3):728-761
We make a detailed study of the Heegaard Floer homology of the product of a closed surface Sigma_g of genus g with S^1. We determine HF^+ for this 3-manifold completely for the spin^c structure having trivial first Chern class, which for g>2 was prev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4eca112517b1455436b1aa3d7177e13a
Publikováno v:
Mathematical Research Letters
In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3--manifolds.
5 pages
5 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f40bc789675f3ed27a76f07b3324362
https://doi.org/10.4310/mrl.2008.v15.n6.a5
https://doi.org/10.4310/mrl.2008.v15.n6.a5
Autor:
Matthew Hedden, Thomas E. Mark
We establish a relationship between Heegaard Floer homology and the fractional Dehn twist coefficient of surface automorphisms. Specifically, we show that the rank of the Heegaard Floer homology of a 3-manifold bounds the absolute value of the fracti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60e7500ed14e65bf1adf9f8d784675cf
Autor:
Thomas E. Mark
Publikováno v:
Forum Mathematicum.
Fintushel and Stern have proved that if S \subset X is a symplectic surface in a symplectic 4-manifold such that S has simply-connected complement and nonnegative self-intersection, then there are infinitely many topologically equivalent but smoothly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92fd2ce44c2ec5df8146583b049d6e24
https://doi.org/10.1515/form.2011.130
https://doi.org/10.1515/form.2011.130