T. Goodwillie

collaborators

2 papers

math.AT2025

On the functoriality of the space of equivariant smooth $h$ -cobordisms

Thomas Goodwillie, Kiyoshi Igusa, Cary Malkiewich +1

We construct an $(\infty, 1)$ -functor that takes each smooth $G$ -manifold with corners $M$ to the space of equivariant smooth $h$ -cobordisms $H_{Diff} (M)$ . We al…

math.DG2024

Extending Gromov's optimal systolic inequality

Thomas G. Goodwillie, James J. Hebda, Mikhail G. Katz

The existence of nontrivial cup products or Massey products in the cohomology of a manifold leads to inequalities of systolic type, but in general such inequalities are not optimal…

On the functoriality of the space of equivariant smooth h-cobordisms

Extending Gromov's optimal systolic inequality

On the functoriality of the space of equivariant smooth $h$ -cobordisms