Seminarium z Topologii Algebraicznej
Wtorki, 12:15-13:45, sala 4070
10.XII.2013
Jan Spaliński
A model of the Borel construction on the free loop space
I will start by briefly recalling the notion of a cyclic object in the
category of spaces.
Next, I will describe a model of the free loop space on the suspension of a
connected
CW-complex X as a colimit of cartesian powers of X and standard cyclic
sets.
The above colimit will be used to obtain a simple description of the
S^1-Borel
construction on the free loop space.
In the last part of the talk I will present some new cyclic structures on
simplicial abelian groups - the two fold classifying space of the constant
simplicial group Z, and the
universal S^1-bundle in the category of simplicial abelian groups.
Strona seminarium