6 citations · 12 across the 15 of their papers we have counts for
4 papers · 2 filters
Compactifications of associated with Alexander self-dual complexes: Chow ring, -classes and intersection numbers
Ilia Nekrasov, Gaiane Panina
An Alexander self-dual complex gives rise to a compactification of , called ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but a…
Extremal areas of polygons with fixed perimeter
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
We consider the configuration space of planar -gons with fixed perimeter, which is diffeomorphic to the complex projective space . The oriented area function…
Geometric presentation for the cohomology ring of polygon spaces
Ilia Nekrasov, Gaiane Panina
We describe the cohomology ring of the moduli space of a flexible polygon in geometrically meaningful terms. We propose two presentations, both are computation friendly: there are…
Diagonal complexes for surfaces of finite type and surfaces with involution
Joseph Gordon, Gaiane Panina
Two related constructions are studied: (1) The diagonal complex and its barycentric subdivision related to a \textit{punctured} oriented surface eq…