nLab Kathryn Hess

• website

Selected writings

• Homotopic Hopf-Galois extensions: foundations and examples, arxiv/0902.3393

On descent:

• A general framework for homotopic descent and codescent (arXiv/1001.1556)

On rational homotopy theory:

• Kathryn Hess, Rational homotopy theory: a brief introduction, contribution to Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago (arXiv:math.AT/0604626), chapter in Luchezar Lavramov, Dan Christensen, William Dwyer, Michael Mandell, Brooke Shipley (eds.), Interactions between Homotopy Theory and Algebra, Contemporary Mathematics 436, AMS 2007 (doi:10.1090/conm/436)

On the Adams-Hilton model for the Pontrjagin ring-structure on the singular chain complex of a based loop space:

• Kathryn Hess, Paul-Eugène Parent, Jonathan Scott, Andrew Tonks, A canonical enriched Adams-Hilton model for simplicial sets, Advances in Mathematics 207 2 (2006) 847-875 [doi:10.1016/j.aim.2006.01.013, arXiv:math/0408216]

On free loop spaces in algebraic topology and physics (quantum field theory):

• Kathryn Hess, Free loop spaces in topology and physics, talk at Meeting of Edinburgh Math. Soc. Glasgow (14 Nov 2008) [pdf, pdf]

On model categories of coalgebras over a comonad via left-left transfer (left-induction):

• Kathryn Hess, Brooke Shipley, The homotopy theory of coalgebras over a comonad, Proceedings of the London Mathematical Society 108 2 (2014) [arXiv:1205.3979, doi:10.1112/plms/pdt038]

Further on left-transferred model structures and model structures on functors:

• Marzieh Bayeh, Kathryn Hess, Varvara Karpova, Magdalena Kedziorek, Emily Riehl, Brooke Shipley, Left-induced model structures and diagram categories, in: Women in Topology: Collaborations in Homotopy Theory, Contemporary Mathematics 641 American Mathematical Society (2015) [arXiv:1401.3651, ISBN:978-1-4704-2495-4]

• Kathryn Hess, Magdalena Kedziorek, Emily Riehl, Brooke Shipley, A necessary and sufficient condition for induced model structures, J. Topology 10 2 (2017) 324-369 [arXiv:1509.08154, doi:10.1112/topo.12011]

  (this contains an error which is corrected in Garner, Kedziorek & Riehl 2018)

On simply connected homotopy types as the comodules in spectra over the comonad $\Sigma^\infty \Omega^\infty$ (the exponential modality, see there) induced by the stabilization adjunction:

• Kathryn Hess, Magdalena Kedziorek, Thm. 3.11 in: The homotopy theory of coalgebras over simplicial comonads, Homology, Homotopy and Applications 21 1 (2019) [arXiv:1707.07104, doi:10.4310/HHA.2019.v21.n1.a11]

Related entries

• rational homotopy theory

• generalized universal bundle

• homotopy coinvariants functor

category: people