4 papers
The integral cohomology rings of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a 4-dimensional toric orbifold associated to a polygon and a characteristic function . Assuming that is locally smooth over a vertex of , we d…
Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
Tseleung So, Jongbaek Song
We study toric orbifolds of real dimension four with vanishing odd-degree cohomology and obtain a basis for its degree-two equivariant cohomology with integral coefficients by iden…
A stability theorem for bigraded persistence barcodes
Anthony Bahri, Ivan Limonchenko, Taras Panov +2
We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated…
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…