Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraints on heterotic M-theory from s-cobordism   We interpret heterotic M-theory in terms of h-cobordism, that is the
eleven-manifold is a product of the ten-manifold times an interval is
translated into a statement that the former is a cobordism of the latter which
is a homtopy equivalence. In the non-simply connected case, which is important
for model building, the interpretation is then in terms of s-cobordism, so that
the cobordism is a simple-homotopy equivalence. This gives constraints on the
possible cobordisms depending on the fundamental groups and hence provides a
characterization of possible compactification manifolds using the Whitehead
group-- a quotient of algebraic K-theory of the integral group ring of the
fundamental group-- and a distinguished element, the Whitehead torsion. We also
consider the effect on the dynamics via diffeomorphisms and general dimensional
reduction, and comment on the effect on F-theory compactifications.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio