Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Hanselman, Jonathan"'
We use the immersed curves description of bordered Floer homology to study $d$-invariants of double branched covers $\Sigma_2(L)$ of arborescent links $L \subset S^3$. We define a new invariant $\Delta_{sym}$ of bordered $\mathbb{Z}_2$-homology solid
Externí odkaz:
http://arxiv.org/abs/2408.02857
Autor:
Chen, Wenzhao, Hanselman, Jonathan
We describe a new method for computing the $UV = 0$ knot Floer complex of a satellite knot given the $UV = 0$ knot Floer complex for the companion and a doubly pointed bordered Heegaard diagram for the pattern, showing that the complex for the satell
Externí odkaz:
http://arxiv.org/abs/2309.12297
Autor:
Hanselman, Jonathan
To a nullhomologous knot $K$ in a 3-manifold $Y$, knot Floer homology associates a bigraded chain complex over $\mathbb{F}[U,V]$ as well as a collection of flip maps; we show that this data can be interpretted as a collection of decorated immersed cu
Externí odkaz:
http://arxiv.org/abs/2305.16271
Autor:
Hanselman, Jonathan, Watson, Liam
Publikováno v:
Geom. Topol. 27 (2023) 925-952
In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particular, knot Floer homology is captured by this invariant. Appealing to e
Externí odkaz:
http://arxiv.org/abs/1908.04397
Autor:
Hanselman, Jonathan
If a knot $K$ in $S^3$ admits a pair of truly cosmetic surgeries, we show that the surgery slopes are either $\pm 2$ or $\pm 1/q$ for some value of $q$ that is explicitly determined by the knot Floer homology of $K$. Moreover, in the former case the
Externí odkaz:
http://arxiv.org/abs/1906.06773
This is a companion paper to earlier work of the authors, which interprets the Heegaard Floer homology for a manifold with torus boundary in terms of immersed curves in a punctured torus. We prove a variety of properties of this invariant, paying par
Externí odkaz:
http://arxiv.org/abs/1810.10355
Autor:
Hanselman, Jonathan
We use the techniques of bordered Heegaard Floer homology to investigate the Heegaard Floer homology of graph manifolds. Bordered Heegaard Floer homology allows us to split a graph manifold into pieces and perform computations for each piece separate
This paper gives a geometric interpretation of bordered Heegaard Floer homology for manifolds with torus boundary. If $M$ is such a manifold, we show that the type D structure $\widehat{\mathit{CFD}}$ may be viewed as a set of immersed curves decorat
Externí odkaz:
http://arxiv.org/abs/1604.03466
Publikováno v:
Compositio Math. 156 (2020) 604-612
If $Y$ is a closed orientable graph manifold, we show that $Y$ admits a coorientable taut foliation if and only if $Y$ is not an L-space. Combined with previous work of Boyer and Clay, this implies that $Y$ is an L-space if and only if $\pi_1(Y)$ is
Externí odkaz:
http://arxiv.org/abs/1508.05911
Autor:
Hanselman, Jonathan, Watson, Liam
Publikováno v:
Geom. Topol. 27 (2023) 823-924
We consider a class of manifolds with torus boundary admitting bordered Heegaard Floer homology of a particularly simple form, namely, the type D structure may be described graphically by a disjoint union of loops. We develop a calculus for studying
Externí odkaz:
http://arxiv.org/abs/1508.05445