C. Thatcher

activity

20142022

collaborators

4 papers

math.GT2022

Linear actions of $Z / p \times Z / p$ on $S^{2 n - 1} \times S^{2 n - 1}$

Jim Fowler, Courtney Thatcher

For an odd prime $p$ , we consider free actions of $(Z / p)^{2}$ on $S^{2 n - 1} \times S^{2 n - 1}$ given by linear actions of $(Z / p)^{2}$ on $R^{4 n}$ . Simple example…

math.GT2019

$Z_{/ p} \times Z_{/ p}$ actions on $S^{n} \times S^{n}$

Jim Fowler, Courtney Thatcher

We determine the homotopy type of quotients of $S^{n} \times S^{n}$ by free actions of $Z_{/ p} \times Z_{/ p}$ where $2 p > n + 3$ . Much like free $Z_{/ p}$ actions, t…

math.GT2017

Topological Symmetry Groups of the Petersen Graph

D. Chambers, E. Flapan, D. Heath +3

We characterize all groups which can occur as the topological symmetry group or the orientation preserving topological symmetry group of some embedding of the Petersen graph in S^3…

math.CT2014

Orbispaces and their Mapping Spaces via Groupoids: A Categorical Approach

Vesta Coufal, Dorette Pronk, Carmen Rovi +2

In this paper, we give an accessible introduction to the theory of orbispaces via groupoids. We define a certain class of topological groupoids, which we call orbigroupoids. Each o…

Linear actions of Z/p×Z/p on S2n−1×S2n−1

Z/p​×Z/p​ actions on Sn×Sn

Topological Symmetry Groups of the Petersen Graph

Orbispaces and their Mapping Spaces via Groupoids: A Categorical Approach

Linear actions of $Z / p \times Z / p$ on $S^{2 n - 1} \times S^{2 n - 1}$

$Z_{/ p} \times Z_{/ p}$ actions on $S^{n} \times S^{n}$