15 citations · 34 across the 3 of their papers we have counts for
Showing math.GTShow all
3 papers · 1 filter
math.GT2012★ 8 cited
The combinatorics of Morse theory with boundary
Jonathan M. Bloom
We prove several combinatorial results on path algebras over discrete structures related to directed graphs. These results are motivated by Morse theory on a manifold with boundary…
math.GT2009★ 15 cited
A link surgery spectral sequence in monopole Floer homology
Jonathan M. Bloom
To a link L in the 3-sphere, we associate a spectral sequence whose E^2 page is the reduced Khovanov homology of L and which converges to a version of the monopole Floer homology o…
math.GT2009★ 11 cited
Odd Khovanov homology is mutation invariant
Jonathan Bloom
We define a link homology theory that is readily seen to be both isomorphic to reduced odd Khovanov homology and fully determined by data impervious to Conway mutation. This gives…