Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	蔡力,西交利物浦大学
Inviter:	苏阳
Title:	On the loop spaces of certain polyhedral products
Language:	Chinese
Time & Venue:	2023.06.21 14:30-15:30 南楼N702
Abstract:	A polyhedral product X of given topological spaces is a special subspace of their cartesian product, which is determined by a simplicial complex K. As a special case when K is a disjoint union of its vertices, X is a wedge sum. Moreover, every moment-angle manifold is homotopy equivalent to the homotopy fiber F of the inclusion of such a polyhedral product into the corresponding cartesian product. In this talk we show some recent progress on the homotopy and homology the loop spaces of general X and F, together with some relationships with simplicial groups and Hopf algebras.