15 citations · 20 across the 4 of their papers we have counts for
10 papers
Derivations of an effective divisor on the complex projective line
Max Wakefield, Sergey Yuzvinsky
In this paper we consider an effective divisor on the complex projective line and associate with it the module D consisting of all the derivations such that $θ(I_i)\subset I_i^…
Formality of the complements of subspace arrangements with geometric lattices
Eva Maria Feichtner, Sergey Yuzvinsky
We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan r…
Topological Robotics: Subspace Arrangements and Collision Free Motion Planning
Michael Farber, Sergey Yuzvinsky
We study an elementary problem of the topological robotics: collective motion of a set of distinct particles which one has to move from an initial configuration to a final conf…
Topological robotics: motion planning in projective spaces
Michael Farber, Serge Tabachnikov, Sergey Yuzvinsky
We study an elementary problem of topological robotics: rotation of a line, which is fixed by a revolving joint at a base point: one wants to bring the line from its initial positi…
Algebraic Aspects of the Theory of Product Structures in Complex Cobordism
B. Botvinnik, V. Buchstaber, S. Novikov +1
We address the general classification problem of all stable associative product structures in the complex cobordism theory. We show how to reduce this problem to the algebraic one…
Annihilators of Ideals of Exterior Algebras
Graham Denham, Sergey Yuzvinsky
The Orlik-Solomon algebra A of a matroid is isomorphic to the quotient of an exterior algebra E by a defining ideal I. We find an explicit presentation of the annihilator ideal of…