Add to ORKGI will explain the construction of a new homology theory for three-manifolds, defined using perverse sheaves on the SL(2,C) character variety. Our invariant is a model for an SL(2,C) version of Floer’s instanton homology. I will present a few explicit computations for Brieskorn spheres, and discuss the connection to the Kapustin-Witten equations and Khovanov homology. This is joint work with Mohammed Abouzaid.Non UBCUnreviewedAuthor affiliation: UCLAFacult
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract. Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Hee...
Abstract Motivated by physical constructions of homological knot invariants, we study their analogs ...
We investigate the sheaf-theoretic SL(2,C) Floer cohomology for knots and 3-manifolds presented as s...
A useful tool to study a 3-manifold is the space of representations of its fundamental group into a ...
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliograp...
. Every Brieskorn homology sphere \Sigma(p; q; r) is a double cover of the 3--sphere ramified over ...
This is an expository account of the Chern-Simons functional, leading to various invariants on homol...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
We prove analogues of the fundamental theorem of K -theory for the second and the third homology of...
The singular instanton Floer homology was defined by Kronheimer and Mrowka in connection with their ...
We prove that the fundamental group of any integer homology 3-sphere different from the 3-sphere adm...
We investigate the gauge theory of 3- and 4- manifolds. A lift of the Chern-Simons functional for f...
We define four versions of equivariant instanton Floer homology (I+, I-, I∞ and I~) for a class of 3...
We define four versions of equivariant instanton Floer homology (I+, I-, I∞ and I~) for a class of 3...
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract. Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Hee...
Abstract Motivated by physical constructions of homological knot invariants, we study their analogs ...
We investigate the sheaf-theoretic SL(2,C) Floer cohomology for knots and 3-manifolds presented as s...
A useful tool to study a 3-manifold is the space of representations of its fundamental group into a ...
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliograp...
. Every Brieskorn homology sphere \Sigma(p; q; r) is a double cover of the 3--sphere ramified over ...
This is an expository account of the Chern-Simons functional, leading to various invariants on homol...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
We prove analogues of the fundamental theorem of K -theory for the second and the third homology of...
The singular instanton Floer homology was defined by Kronheimer and Mrowka in connection with their ...
We prove that the fundamental group of any integer homology 3-sphere different from the 3-sphere adm...
We investigate the gauge theory of 3- and 4- manifolds. A lift of the Chern-Simons functional for f...
We define four versions of equivariant instanton Floer homology (I+, I-, I∞ and I~) for a class of 3...
We define four versions of equivariant instanton Floer homology (I+, I-, I∞ and I~) for a class of 3...
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract. Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Hee...
Abstract Motivated by physical constructions of homological knot invariants, we study their analogs ...