Wiktor J. Mogilski

activity

20092023

most citedThe Four-Vertex Theorem, The Evolute, and The Decomposition of Polygons

5 citations · 8 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.AT2016

Coxeter Groups, Ruins, and Weighted $L^{2}$ -cohomology

Wiktor Mogilski, Kevin Schreve

Given a Coxeter system $(W, S)$ and a multiparameter $q$ of real numbers indexed by $S$ , one can define the weighted $L^{2}$ -cohomology groups and associate to them a nonnega…

math.AT2015★ 3 cited

The weighted Singer conjecture for Coxeter groups in dimensions three and four

Wiktor J. Mogilski

Given a Coxeter system $(W, S)$ there is a contractible simplicial complex $Σ$ called the Davis complex on which $W$ acts properly and cocompactly. In an article of Dymara, the weig…

math.AT2015

The fattened Davis complex and weighted $L^{2}$ -(co)homology of Coxeter groups

Wiktor J. Mogilski

Associated to a Coxeter system $(W, S)$ there is a contractible simplicial complex $Σ$ called the Davis complex on which $W$ acts properly and cocompactly by reflections. Given a po…

Coxeter Groups, Ruins, and Weighted L2-cohomology

The weighted Singer conjecture for Coxeter groups in dimensions three and four

The fattened Davis complex and weighted L2-(co)homology of Coxeter groups

Coxeter Groups, Ruins, and Weighted $L^{2}$ -cohomology

The fattened Davis complex and weighted $L^{2}$ -(co)homology of Coxeter groups