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On topological cyclic homology
T Nikolaus, P Scholze - 2018 - projecteuclid.org
Topological cyclic homology is a refinement of Connes–Tsygan's cyclic homology which
was introduced by Bökstedt–Hsiang–Madsen in 1993 as an approximation to algebraic K …
was introduced by Bökstedt–Hsiang–Madsen in 1993 as an approximation to algebraic K …
Twistorial cohomotopy implies Green–Schwarz anomaly cancellation
We characterize the integral cohomology and the rational homotopy type of the maximal
Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations …
Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations …
[HTML][HTML] Nilpotence and descent in equivariant stable homotopy theory
Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-
equivariant spectra that we call F-nilpotent. This definition fits into the general theory of …
equivariant spectra that we call F-nilpotent. This definition fits into the general theory of …
[کتاب][B] The Character Map in Non-abelian Cohomology: Twisted, Differential, and Generalized
D Fiorenza, H Sati, U Schreiber - 2024 - World Scientific
To set the scene, we begin here by reviewing basics of homotopy theory via model category
theory [Quillen (1967)](review in [Hovey (1999)][Hirschhorn (2003)][Lurie (2009a), A. 2]) and …
theory [Quillen (1967)](review in [Hovey (1999)][Hirschhorn (2003)][Lurie (2009a), A. 2]) and …
Topological Quantum Gates in Homotopy Type Theory
Despite the plausible necessity of topological protection for realizing scalable quantum
computers, the conceptual underpinnings of topological quantum logic gates had arguably …
computers, the conceptual underpinnings of topological quantum logic gates had arguably …
The chromatic nullstellensatz
We show that Lubin--Tate theories attached to algebraically closed fields are characterized
among $ T (n) $-local $\mathbb {E} _ {\infty} $-rings as those that satisfy an analogue of …
among $ T (n) $-local $\mathbb {E} _ {\infty} $-rings as those that satisfy an analogue of …
Short-range entanglement and invertible field theories
Quantum field theories with an energy gap can be approximated at long-range by
topological quantum field theories. The same should be true for suitable condensed matter …
topological quantum field theories. The same should be true for suitable condensed matter …
Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory
We extend the theory of Thom spectra and the associated obstruction theory for orientations
in order to support the construction of the string orientation of, the spectrum of topological …
in order to support the construction of the string orientation of, the spectrum of topological …
Bordism for the 2-group symmetries of the heterotic and CHL strings
In the presence of a nonzero B-field, the symmetries of the E8× E 8 heterotic string form a 2-
group, or a categorified group, as do the symmetries of the CHL string. We express the …
group, or a categorified group, as do the symmetries of the CHL string. We express the …
Proper orbifold cohomology
The concept of orbifolds should unify differential geometry with equivariant homotopy theory,
so that orbifold cohomology should unify differential cohomology with proper equivariant …
so that orbifold cohomology should unify differential cohomology with proper equivariant …