95 citations · 113 across the 8 of their papers we have counts for
8 papers
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 -cobordisms
Thomas Goodwillie, Kiyoshi Igusa, Cary Malkiewich +1
We construct an -functor that takes each smooth -manifold with corners to the space of equivariant smooth -cobordisms . We al…
Stability of concordance embeddings
Thomas Goodwillie, Manuel Krannich, Alexander Kupers
We prove a stability theorem for spaces of smooth concordance embeddings. From it we derive various applications to spaces of concordance diffeomorphisms and homeomorphisms.
Scissors Congruence with Mixed Dimensions
Thomas G. Goodwillie
We introduce a Grothendieck group for bounded polytopes in . It differs from the usual Euclidean scissors congruence group in that lower-dimensional polytopes ar…
An Equivariant Version of Hatcher's G/O Construction
Thomas Goodwillie, Kiyoshi Igusa, Christopher Ohrt
We explicitly construct generators of the rational homotopy groups of the space of stable h-cobordisms of the classifying space of a cyclic group of order n by generalizing a const…
A stable range description of the space of link maps
Thomas G. Goodwillie, Brian A. Munson
We study the space of link maps, which are smooth maps from the disjoint union of manifolds P and Q to a manifold N such that the images of P and Q are disjoint. We give a range of…