Concept
Homotopy theory
Related publications (34)
Cochains are all you need
In this thesis, we apply cochain complexes as an algebraic model of space in a diverse range of mathematical and scientific settings. We begin with an algebraic-discrete Morse theory model of auto-encoding cochain data, connecting the homotopy theory of d ...
EPFL2024Cyclic $A_\infty$-algebras and cyclic homology
We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...
2023A Hopf algebra model for Dwyer's tame spaces
In this thesis, we give a modern treatment of Dwyer's tame homotopy theory using the language of -categories.We introduce the notion of tame spectra and show it has a concrete algebraic description.We then carry out a study of -operads and ...
EPFL2022Computational tools for twisted topological Hochschild homology of equivariant spectra
Kathryn Hess Bellwald, Inbar Klang
Twisted topological Hochschild homology of Cn-equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopkins, and Ravenel on norms in equivariant homotopy theory. In this paper we intr ...
ELSEVIER2022Conjugation spaces are cohomologically pure
Conjugation spaces are equipped with an involution such that the fixed points have the same mod 2 cohomology (as a graded vector space, a ring, and even an unstable algebra) but with all degrees divided by 2, generalizing the classical examples of complex ...
WILEY2021