11 citations · 36 across the 13 of their papers we have counts for
4 papers · 1 filter
Representation homology of simply connected spaces
Yuri Berest, Ajay C. Ramadoss, Wai-Kit Yeung
Let be an affine algebraic group defined over field of characteristic zero. We study the derived moduli space of G-local systems on a pointed connected CW complex X trivial…
Vanishing theorems for representation homology and the derived cotangent complex
Yuri Berest, Ajay C. Ramadoss, Wai-kit Yeung
Let be a reductive affine algebraic group defined over a field of characteristic zero. In this paper, we study the cotangent complex of the derived -representation schem…
Representation homology of topological spaces
Yuri Berest, Ajay C. Ramadoss, Wai-kit Yeung
In this paper, we introduce and study representation homology of topological spaces, which is a natural homological extension of representation varieties of fundamental groups. We…
Perverse Sheaves and Knot Contact Homology
Yuri Berest, Alimjon Eshmatov, Wai-kit Yeung
In this paper, which is mostly a research announcement, we give a new algebraic construction of knot contact homology in the sense of L. Ng [Ng05a]. For a link in $ {\mathbb R}…