The loop space homotopy type of highly connected Poincaré Duality complexes
: 03/10/2018 19:00
3 octubre 2018: Seminario de Análisis, 18:00-19:00
Conferenciante: Stephen Theriault, University of Southampton
Título: The loop space homotopy type of highly connected Poincaré Duality complexes
Resumen: The talk will present a framework for determining the homotopy type of the based loops on certain spaces. The methods will be applied to give a thorough analysis of the based loops on (n-1)-connected 2n-dimensional Poincaré Duality complexes, and the based loops on (n-1)-connected(2n+1)-dimensional Poincaré Duality complexes (a Poincaré Duality complex is a CW-complex whose cohomology satisfies Poincaré Duality).