activity
20022026
most citedCombinatorial Miller-Morita-Mumford classes and Witten cycles

47 citations · 323 across the 60 of their papers we have counts for

collaborators

66 papers

math.RT2026

Balanced notation for -rigid pairs

Kiyoshi Igusa, Gordana Todorov

We introduce a new notation for -rigid pairs called ``balanced pairs''. The notation allows for simplification of some formulas, for example the Jasso category and it…

math.RT2025

Short history of signed exceptional sequences

Kiyoshi Igusa, Gordana Todorov

Whereas exceptional sequences have a long history with many well-known connections to combinatorics, signed exceptional sequences are relatively recent. The authors introduced this…

math.RT2025

More ghost modules I

Kiyoshi Igusa

Ghost modules were introduced in [I3] without definitions or proofs. We also introduced stability diagrams or "relative pictures" for torsion classes and torsion-free classes for r…

math.AT2025

Generalized Grassmann invariant-redrawn

Kiyoshi Igusa

This is my old unpublished paper called "The generalized Grassmann invariant". It shows how "pictures" also known as "Peiffer diagrams" represent elements of for any group $…

math.RT2024

Enumerating m-clusters using exceptional sequences

Kiyoshi Igusa

We give a bijection between ordered -clusters and (complete) -exceptional sequences, a concept that we introduce for this purpose. This holds for all hereditary artin algebra…

math.AT2023

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…