526 citations · 1.1k across the 23 of their papers we have counts for
24 papers
A unified Casson-Lin invariant for the real forms of SL(2)
Nathan M. Dunfield, Jacob Rasmussen
We introduce a unified framework for counting representations of knot groups into and . For a knot in the 3-sphere, Lin and others showed that a Cass…
Heegaard Floer homology for manifolds with torus boundary: properties and examples
Jonathan Hanselman, Jacob Rasmussen, Liam Watson
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…
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology
Eugene Gorsky, Andrei Neguţ, Jacob Rasmussen
We construct a categorification of the maximal commutative subalgebra of the type Hecke algebra. Specifically, we propose a monoidal functor from the (symmetric) monoidal categ…
Bordered Floer homology for manifolds with torus boundary via immersed curves
Jonathan Hanselman, Jacob Rasmussen, Liam Watson
This paper gives a geometric interpretation of bordered Heegaard Floer homology for manifolds with torus boundary. If is such a manifold, we show that the type D structure $\wi…
L-spaces, taut foliations, and graph manifolds
Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen +1
If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and C…
Floer Simple Manifolds and L-Space Intervals
Jacob Rasmussen, Sarah Dean Rasmussen
An oriented three-manifold with torus boundary admits either no L-space Dehn filling, a unique L-space filling, or an interval of L-space fillings. In the latter case, which we cal…