4 papers
Homotopy rigidity for quasitoric manifolds over a product of simplices
Xin Fu, Tseleung So, Jongbaek Song +1
We consider a variation of the Cohomological Rigidity Problem: whether two quasitoric manifolds whose cohomology rings are isomorphic are homotopy equivalent. We show that if two q…
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…
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…
Homotopy rigidity for quasitoric manifolds over a product of -simplices
Xin Fu, Tseleung So, Jongbaek Song +1
For a fixed integer , we show that two quasitoric manifolds over a product of -simplices are homotopy equivalent after appropriate localization, provided that their int…