2 papers
math.DG2026
On comass and stable systolic inequalities
James J. Hebda, Mikhail G. Katz
We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitne…
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…