Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Mark, Thomas E."'
Autor:
MARK, THOMAS E.1 tmark@virginia.edu, TOSUN, BŪLENT2 btosun@ua.edu
Publikováno v:
Transactions of the American Mathematical Society, Series B. 8/30/2024, Vol. 11, p1098-1137. 40p.
Autor:
Mark, Thomas E., Tosun, Bülent
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:
http://arxiv.org/abs/2008.02755
Autor:
Haney, Sebastian, Mark, Thomas E.
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 153-187
Cylindrical contact homology is a comparatively simple incarnation of symplectic field theory whose existence and invariance under suitable hypotheses was recently established by Hutchings and Nelson. We study this invariant for a general Brieskorn 3
Externí odkaz:
http://arxiv.org/abs/1910.07114
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:
http://arxiv.org/abs/1908.05269
We give two infinite families of examples of closed, orientable, irreducible 3-manifolds $M$ such that $b_1(M)=1$ and $\pi_1(M)$ has weight 1, but $M$ is not the result of Dehn surgery along a knot in the 3-sphere. This answers a question of Aschenbr
Externí odkaz:
http://arxiv.org/abs/1802.08620
For an integer $n$, write $X_n(K)$ for the 4-manifold obtained by attaching a 2-handle to the 4-ball along the knot $K\subset S^3$ with framing $n$. It is known that if $n< \overline{\text{tb}}(K)$, then $X_n(K)$ admits the structure of a Stein domai
Externí odkaz:
http://arxiv.org/abs/1710.08346
Publikováno v:
In Advances in Mathematics 19 November 2021 391
Autor:
Mark, Thomas E., Tosun, Bülent
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:
http://arxiv.org/abs/1603.07710
Autor:
Mark, Thomas E., Tosun, Bülent
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:
http://arxiv.org/abs/1509.01511
Autor:
Hedden, Matthew, Mark, Thomas E.
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:
http://arxiv.org/abs/1501.01284