Thanks for pointing out any reference.
$\begingroup$
$\endgroup$
2
-
1$\begingroup$ Is there a specific setting in which you want to study homotopy (co)invariants? For example, do you have in mind a question about topological spaces, or complexes of vector spaces? Are you looking for an abstract homotopy-theoretic treatment? $\endgroup$– S. Carnahan ♦Nov 1, 2010 at 16:39
-
1$\begingroup$ In Costello's work "The Gromov-Witten potential associated to a TCFT", it says the pullback operation is not well-defined in simplicial chain, but it is defined for homotopy coinvariant, that's what I am studying. $\endgroup$– HYYYNov 14, 2010 at 9:52
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
1
If you like complexes of vector spaces over the field with two elements, Lecture 2 in this set of notes by Jacob Lurie has a nice treatment of homotopy coinvariants in that context. Some technical complexity that arises in the topological category is avoided in the linear algebraic treatment.
answered Nov 1, 2010 at 9:05
-
$\begingroup$ Analogues of coinvariants for comodule algebras over Hopf algebras in model categorical setup is in a recent paper of Kathryn Hess on the arXiv. $\endgroup$ Nov 1, 2010 at 9:38