7 citations · 42 across the 33 of their papers we have counts for
4 papers · 1 filter
An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fiber bundle
Gaiane Panina
We present an elementary approach to local combinatorial formulae for the Euler class of a fiber-oriented triangulated spherical fiber bundle. The approach is based on sections ave…
Discrete Morse theory for moduli spaces of flexible polygons, or solitaire game on the circle
Gaiane Panina, Alena Zhukova
We introduce a perfect discrete Morse function on the moduli space of a polygonal linkage. The ingredients of the construction are: (1) the cell structure on the moduli space, and…
Moduli space of planar polygonal linkage: a combinatorial description
Gaiane Panina
We explicitly describe a structure of a regular cell complex on the moduli space of a planar polygonal linkage . The combinatorics is very much related (but not eq…
Around a conjecture by R. Connelly, E. Demaine, and G. Rote
Alexander Igamberdiev, Gaiane Panina
Denote by the configuration space of a planar polygonal linkage, that is, the space of all possible planar configurations modulo congruences, including configurations with s…