3 citations · 4 across the 4 of their papers we have counts for
4 papers
Quasitoric Manifolds with Invariant Almost Complex Structure
Andrei Kustarev
We prove that any quasitoric manifold admits a -invariant almost complex structure if and only if admits a positive omniorientation. In particular, we show that a…
Complex cobordisms and singular manifolds arising from Chern classes
Andrei Kustarev
This paper deals with the question of J.Morava on existence of canonical complex cobordism class of singular submanifold. We present several solutions of this question for …
Geometric proof of Thom conjecture
Andrei Kustarev
This paper has been withdrawn by the author due a crucial sign error in Theorem B. We present a geometric proof of Thom conjecture, which uses Khovanov homology. Our approach doesn…
Cobordism realizations of Thom polynomials of singularities
Andrei Kustarev
We define complex cobordism realizations of cohomological Thom polynomials and study their existence, uniqueness and other features. We show that problem is non-trivial on the exam…