61 citations · 431 across the 48 of their papers we have counts for
49 papers
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…
Equivariant cohomology of moment-angle complexes with respect to coordinate subtori
Taras Panov, Indira Zeinikesheva
We compute the equivariant cohomology of moment-angle complexes with respect to the action of coordinate subtori . We give…
Minimally non-Golod face rings and Massey products
Ivan Limonchenko, Taras Panov
We give a correct statement and a complete proof of the criterion obtained by Grbić, Panov, Theriault and Wu for the face ring of a simplicial complex to be Golod ov…
Double cohomology of moment-angle complexes
Ivan Limonchenko, Taras Panov, Jongbaek Song +1
We put a cochain complex structure on the cohomology of a moment-angle complex and call the resulting cohomology the double cohomology, ${HH}^…
-linear operations in complex cobordism and the -spherical bordism theory
Georgy Chernykh, Taras Panov
We study the -linear operations in complex cobordism and prove that they are generated by the well-known geometric operations . For the theory of -spherica…
One-relator groups and algebras related to polyhedral products
Jelena Grbić, Marina Ilyasova, Taras Panov +1
We link distinct concepts of geometric group theory and homotopy theory through underlying combinatorics. For a flag simplicial complex , we specify a necessary and sufficient c…