2 papers
math.AT2026
Szczarba's twisted shuffle and equivariant path homology of directed graphs
Xin Fu, Shing-Tung Yau
To a marked simplicial set one can associate its path chain complex, and define its homology to be the homology of this complex, inspired by path homology theories for directed gra…
math.AT2024
Cohomology bases of toric surfaces
Xin Fu, Tseleung So, Jongbaek Song
Given a compact toric surface, the multiplication of its rational cohomology can be described in terms of the intersection products of Weil divisors, or in terms of the cup product…