S. Theriault

activity

20052023

most citedAn elementary construction of Anick's fibration

22 citations · 108 across the 27 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AT2021★ 1 cited

Homotopy theoretic properties of open books

Ruizhi Huang, Stephen Theriault

We study the homotopy groups of open books in terms of those of their pages and bindings. Under homotopy theoretic conditions on the monodromy we prove an integral decomposition re…

math.AT2021★ 10 cited

Loop space decompositions of $(2 n - 2)$ -connected $(4 n - 1)$ -dimensional Poincaré Duality complexes

Ruizhi Huang, Stephen Theriault

Beben and Wu showed that if $M$ is a $(2 n - 2)$ -connected $(4 n - 1)$ -dimensional Poincaré Duality complex such that $n \geq 3$ and $H^{2 n} (M; Z)$ consists only of odd torsion, t…

math.AT2021★ 4 cited

Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups

Ruizhi Huang, Stephen Theriault

Using integral methods we recover and generalize some results by Félix, Halperin and Thomas on the growth of the rational homology groups of free loop spaces, and obtain a new fami…

Homotopy theoretic properties of open books

Loop space decompositions of (2n−2)-connected (4n−1)-dimensional Poincaré Duality complexes

Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups

Loop space decompositions of $(2 n - 2)$ -connected $(4 n - 1)$ -dimensional Poincaré Duality complexes