no code implementations • 26 Mar 2023 • Anthony Bahri, Ivan Limonchenko, Taras Panov, Jongbaek Song, Donald Stanley
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 with the Vietoris-Rips filtration of X.
no code implementations • 27 Nov 2020 • Xin Fu, Tseleung So, Jongbaek Song
Let $X$ be a $4$-dimensional toric orbifold.
Algebraic Topology Primary 57R18, 55P15, Secondary 55P60
