Six model structures for DG-modules over DGAs: model category theory in homological action
T Barthel, JP May, E Riehl - arXiv preprint arXiv:1310.1159, 2013 - arxiv.org
In Part 1, we describe six projective-type model structures on the category of differential
graded modules over a differential graded algebra A over a commutative ring R. When R is …
graded modules over a differential graded algebra A over a commutative ring R. When R is …
The cohomology rings of homogeneous spaces
M Franz - Journal of Topology, 2021 - Wiley Online Library
Let G be a compact connected Lie group and K a closed connected subgroup. Assume that
the order of any torsion element in the integral cohomology of G and K is invertible in a given …
the order of any torsion element in the integral cohomology of G and K is invertible in a given …
A ring structure on Tor
JD Carlson - arXiv preprint arXiv:2306.04860, 2023 - arxiv.org
We prove that within a natural class of E_3-algebras, the graded Tor group induced by a
span of E_3-algebra maps carries a functorial commutative graded algebra structure …
span of E_3-algebra maps carries a functorial commutative graded algebra structure …
Parametrized homotopy theory
JP May, J Sigurdsson - arXiv preprint math/0411656, 2004 - arxiv.org
We give rigorous foundations for parametrized homotopy theory in this monograph. After
preliminaries on point-set topology, base change functors, and proper actions of non …
preliminaries on point-set topology, base change functors, and proper actions of non …
The cohomology of biquotients via a product on the two-sided bar construction
JD Carlson - arXiv preprint arXiv:2106.02986, 2021 - arxiv.org
We compute the Borel equivariant cohomology ring of the left $ K $-action on a
homogeneous space $ G/H $, where $ G $ is a connected Lie group, $ H $ and $ K $ are …
homogeneous space $ G/H $, where $ G $ is a connected Lie group, $ H $ and $ K $ are …
On the 𝑝-compact groups corresponding to the 𝑝-adic reflection groups 𝐺 (𝑞, 𝑟, 𝑛)
N Castellana - Transactions of the American Mathematical Society, 2006 - ams.org
There exists an infinite family of $ p $-compact groups whose Weyl groups correspond to the
finite $ p $-adic pseudoreflection groups $ G (q, r, n) $ of family 2a in the Clark-Ewing list. In …
finite $ p $-adic pseudoreflection groups $ G (q, r, n) $ of family 2a in the Clark-Ewing list. In …
[PDF][PDF] The rational cohomology of homogeneous spaces
JD Carlson - to appear - math.sci.uwo.ca
The following definition of the cohomology of a compact space is an extension of de Rham's
2 definition of the cohomology of the algebra of their exterior differential forms (E. Cartan sug …
2 definition of the cohomology of the algebra of their exterior differential forms (E. Cartan sug …
A Class of Morse Functions on Flag Manifolds
P Duarte - arXiv preprint arXiv:1311.1401, 2013 - arxiv.org
Given a positive definite symmetric matrix in one of the groups SL (n, R) or Sp (n, R), we
analyse its actions on Flag Manifolds, proving these are diffeomorphisms which admit as …
analyse its actions on Flag Manifolds, proving these are diffeomorphisms which admit as …
Variations on the cohomology of loop spaces on generalized homogeneous spaces
F Neumann - Proceedings of the Steklov Institute of Mathematics, 2006 - Springer
Variations on the cohomology of loop spaces on generalized homogeneous spaces Page 1
ISSN 0081-5438, Proceedings of the Steklov Institute of Mathematics, 2006, Vol. 252, pp …
ISSN 0081-5438, Proceedings of the Steklov Institute of Mathematics, 2006, Vol. 252, pp …