3 papers
math.AG2026
Intrinsic Restriction Traces and Toric Dynamics
Haoyang Liu, Tianle Liu
We prove Morita invariance of the Campbell--Lind--Malkiewich--Ponto--Zakharevich restriction-system trace after passage to perfect modules. It therefore defines an intrinsic integr…
math.AG2026
Torus-enriched Motivic Bruhat Complexes and Maximal Compact Groups
Haoyang Liu, Tianle Liu
Bruhat decompositions give cellular models for split algebraic groups, flag varieties, and maximal compact groups, but motivic boundaries retain orientation and torus-translation d…
math.AG2026
Cellular -Homology from Bruhat Boundary Matrices of Split Semisimple Flag Varieties
Haoyang Liu, Tianle Liu
Let be a perfect field of characteristic different from 2, we compute the cellular -homology of the flag varieties attached to split semisimple simply con…