Wiktor J. Mogilski

activity

20092016

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

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

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

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…

math.MG2009★ 5 cited

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

Wiktor J. Mogilski

The Four-Vertex Theorem has been of interest ever since a discrete version appeared in 1813 due to Cauchy. Up until now, there have been many different versions of this theorem, bo…

Coxeter Groups, Ruins, and Weighted L2-cohomology

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

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

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

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