Victor Buchstaber Taras (Both Of The Moscow State University, Russia) Panov
In this text, the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a proper manifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus...
In this text, the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative ...
