113 citations · 318 across the 23 of their papers we have counts for
23 papers
Abelian duality and propagation of resonance
Graham Denham, Alexander I. Suciu, Sergey Yuzvinsky
We explore the relationship between a certain "abelian duality" property of spaces and the propagation properties of their cohomology jump loci. To that end, we develop the analogy…
The higher topological complexity of subcomplexes of products of spheres---and related polyhedral product spaces
Jesús González, Bárbara Gutiérrez, Sergey Yuzvinsky
We construct "higher" motion planners for automated systems whose space of states are homotopy equivalent to a polyhedral product space , e.g. robot arms…
Higher topological complexity of Artin type groups
Sergey Yuzvinsky
We calculate the higher topological complexity TC for the complements of reflection arrangements, in other words for the pure Artin type groups of all finite complex reflection…
Combinatorial covers and vanishing of cohomology
Graham Denham, Alexander I. Suciu, Sergey Yuzvinsky
We use a Mayer-Vietoris-like spectral sequence to establish vanishing results for the cohomology of complements of linear and elliptic hyperplane arrangements, as part of a more ge…
Multinets in
Jeremiah Bartz, Sergey Yuzvinsky
Multinets are certain configurations of lines and points with multiplicities in the complex projective plane P2. They are used in the studies of resonance and characteristic variet…
On the local zeta functions and the b-functions of certain hyperplane arrangements
Nero Budur, Morihiko Saito, Sergey Yuzvinsky
Conjectures of J. Igusa for p-adic local zeta functions and of J. Denef and F. Loeser for topological local zeta functions assert that (the real part of) the poles of these local z…