12 citations · 18 across the 6 of their papers we have counts for
8 papers
Characteristic numbers of canonical toric manifolds and their applications
Vladimir Grujić, Ivan Limonchenko
We compute all the Chern, Milnor and Pontryagin numbers for canonical toric manifolds associated with abstract simplicial complexes and the Stiefel-Whitney numbers for their real c…
On the combinatorics of Murai spheres and its applications
Ivan Limonchenko, Aleš Vavpetič
We classify the combinatorial types of Murai spheres in dimensions and , thereby showing that the corresponding convex simple polytopes have Delzant realizations. Then we de…
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Ivan Limonchenko, Aleš Vavpetič
We describe all the Bier spheres of dimension with chromatic number equal to and prove that all other -dimensional Bier spheres have chromatic number equal to , f…
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…
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}^…
Higher order Massey products and applications
Ivan Limonchenko, Dmitry Millionshchikov
In this survey, we discuss two research areas related to Massey's higher operations. The first direction is connected with the cohomology of Lie algebras and the theory of represen…
SU-bordism: structure results and geometric representatives
Georgy Chernykh, Ivan Limonchenko, Taras Panov
In the first part of this survey we give a modernised exposition of the structure of the special unitary bordism ring, by combining the classical geometric methods of Conner-Floyd,…