7 citations · 13 across the 7 of their papers we have counts for
7 papers
The combinatorial and gauge-theoretic foam evaluation functors are not the same
David Boozer
Kronheimer and Mrowka used gauge theory to define a functor from a category of webs in to the category of finite-dimensional vector spaces over the field…
Khovanov homology and the Fukaya category of the traceless character variety for the twice-punctured torus
David Boozer
We describe a strategy for constructing reduced Khovanov homology for links in lens spaces by generalizing a symplectic interpretation of reduced Khovanov homology for links in $S^…
Khovanov homology via 1-tangle diagrams in the annulus
David Boozer
We show that the reduced Khovanov homology of an oriented link in can be expressed as the homology of a chain complex constructed from a description of as the closure…
The moduli space of stable rank 2 parabolic bundles over an elliptic curve with 3 marked points
David Boozer
We explicitly describe the moduli space of stable rank 2 parabolic bundles over an elliptic curve with trivial determinant bundle and 3 marked points. Specifically,…
Computer Bounds for Kronheimer-Mrowka Foam Evaluation
David Boozer
Kronheimer and Mrowka recently suggested a possible approach towards a new proof of the four color theorem that does not rely on computer calculations. Their approach is based on a…
Holonomy perturbations of the Chern-Simons functional for lens spaces
David Boozer
We describe a scheme for constructing generating sets for Kronheimer and Mrowka's singular instanton knot homology for the case of knots in lens spaces. The scheme involves Heegaar…
Moduli spaces of Hecke modifications for rational and elliptic curves
David Boozer
We propose definitions of complex manifolds that could potentially be used to construct the symplectic Khovanov homology of -stranded links in lens spaces…