Algebraic Topology and Related Topics pp 197-213 | Cite as
Lickorish-type Construction of Manifolds Over Simple Polytopes
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Abstract
This paper is a survey on the Lickorish-type construction of some kind of closed manifolds over simple convex polytopes. Inspired by Lickorish’s theorem, we propose a method to describe certain families of manifolds over simple convex polytopes with torus action. Under this construction, many known classification results of these families of manifolds can be interpreted by this construction. Some further problems will be discussed in the end.
Notes
Acknowledgements
The authors are very grateful to the referees for carefully reading this manuscript and providing some very valuable and helpful suggestions.
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