4 papers
Characteristic numbers of canonical toric manifolds and their applications
Vladimir GrujiÄ, 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…
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Ivan Limonchenko, AleÅ¡ VavpetiÄ
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…
On the combinatorics of Murai spheres and its applications
Ivan Limonchenko, AleÅ¡ VavpetiÄ
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…
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…