Bernardo Villarreal

activity

20162026

most citedClassifying spaces for commutativity of low-dimensional Lie groups

9 citations · 20 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.AT2018

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…

math.AT2018★ 9 cited

Classifying spaces for commutativity of low-dimensional Lie groups

Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

For each of the groups $G = O (2), S U (2), U (2)$ , we compute the integral and $F_{2}$ -cohomology rings of $B_{com} G$ (the classifying space for commutativity of $G$ ), th…