@inproceedings{Buchstaber1999TorusAA,
title={Torus actions and combinatorics of polytopes},
author={Victor M. Buchstaber and TARAS E. PANOV},
year={1999}
}

In this work we develop the study of relationship between the algebraic topology of manifolds and the combinatorics of polytopes. Originally, this research was inspired by the results of the toric variety theory. The main object of our study is the smooth manifold defined by the combinatorial structure of a simple polytope. This manifold is equipped with natural action of the compact torus T. We define an n-dimensional convex polytope as a bounded set in R that is obtained as the intersection… CONTINUE READING

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