19 citations · 143 across the 22 of their papers we have counts for
27 papers
Variations on the Nerve Theorem
Daniel A. Ramras
Given a locally finite cover of a simplicial complex by subcomplexes, Björner's version of the Nerve Theorem provides conditions under which the homotopy groups of the nerve agree…
Bad Representations and Homotopy of Character Varieties
Clément Guérin, Sean Lawton, Daniel Ramras
Let G be a connected reductive complex affine algebraic group, and let X denote the moduli space of G-valued representations of a rank r free group. We first characterize the singu…
Commutative cocycles and stable bundles over surfaces
Daniel A. Ramras, Bernardo Villarreal
Commutative K-theory, a cohomology theory built from spaces of commuting matrices, has been explored in recent work of Adem, Gómez, Gritschacher, Lind, and Tillman. In this article…
The homotopy groups of a homotopy group completion
Daniel A. Ramras
Let be a topological monoid with homotopy group completion . Under a strong homotopy commutativity hypothesis on , we show that is the quotient of the monoi…
Homological stability for spaces of commuting elements in Lie groups
Daniel A. Ramras, Mentor Stafa
In this paper we study homological stability for spaces of pairwise commuting -tuples in a Lie group . We prove that for each , thes…
Hilbert-Poincare series for spaces of commuting elements in Lie groups
Daniel A. Ramras, Mentor Stafa
In this article we study the homology of spaces of ordered pairwise commuting -tuples in a Lie group . We give an explicit formula for the Poincar…