activity
20062024
most citedDegeneracy Loci Classes in -theory - Determinantal and Pfaffian Formula -

32 citations · 74 across the 20 of their papers we have counts for

collaborators

21 papers

math.CO2024

Equivariant cohomology of Grassmannian spanning lines

Raymond Chou, Tomoo Matsumura, Brendon Rhoades

Given integers , let be the moduli space of -tuples of lines in such that has di…

math.CO2019

A tableau formula for vexillary Schubert polynomials in type C

Tomoo Matsumura

Ikeda-Mihalcea-Naruse's double Schubert polynomials represent the equivariant cohomology classes of Schubert varieties in the type C flag varieties. The goal of this paper is to ob…

math.AG2019★ 1 cited

Stability of Bott--Samelson Classes in Algebraic Cobordism

Thomas Hudson, Tomoo Matsumura, Nicolas Perrin

In this paper, we construct stable Bott--Samelson classes in the projective limit of the algebraic cobordism rings of full flag varieties, upon an initial choice of a reduced word…

math.CO2019★ 2 cited

Factorial Flagged Grothendieck Polynomials

Tomoo Matsumura, Shogo Sugimoto

We show that the factorial flagged Grothendieck polynomials defined by flagged set-valued tableaux of Knutson-Miller-Yong can be expressed by a Jacobi-Trudi type determinant formul…

math.CO2018★ 7 cited

Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians

Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1

We study the double Grothendieck polynomials of Kirillov--Naruse for the symplectic and odd orthogonal Grassmannians. These functions are explicitly written as sums of Pfaffian and…

math.CO2017★ 1 cited

A tableau formula of double Grothendieck polynomials for -avoiding permutations

Tomoo Matsumura

In this article, we prove a tableau formula for the double Grothendieck polynomials associated to -avoiding permutations. The proof is based on the compatibility of the formul…