3 papers
math.CO2025
Elementary symmetric polynomials under the fixed point measure
Ayush Khaitan, Ishan Mata, Bhargav Narayanan
We identify a surprising inequality satisfied by elementary symmetric polynomials under the action of the fixed point measure of a random permutation. Concretely, for any collectio…
math.AT2020
Uniqueness of differential characters and differential K-theory via homological algebra
Ishan Mata
In Proc Math Sci 129, 70(219), Rakesh Pawar considers and solves a certain extension problem. In this note, we observe that the existence and uniqueness of differential characters…
math.DG2019
Invariants of families of flat connections using fiber integration of differential characters
Ishan Mata
Let be a smooth vector bundle of rank , and let be a -invariant polynomial of degree compatible with a universal int…