Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Gorenstein duality for cochains on spaces   We investigate when a commutative ring spectrum $R$ satisfies a homotopical
version of local Gorenstein duality, extending the notion previously studied by
Greenlees. In order to do this, we prove an ascent theorem for local Gorenstein
duality along morphisms of $k$-algebras. Our main examples are of the form $R =
C^*(X;k)$, the ring spectrum of cochains on a space $X$ for a field $k$. In
particular, we establish local Gorenstein duality in characteristic $p$ for
$p$-compact groups and $p$-local finite groups as well as for $k = \Q$ and $X$
a simply connected space which is Gorenstein in the sense of Dwyer, Greenlees,
and Iyengar.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th