The additivity of traces in stable -categories
M Ramzi - arXiv preprint arXiv:2109.01512, 2021 - arxiv.org
We prove a version of JP May's theorem on the additivity of traces, in symmetric monoidal
stable $\infty $-categories. Our proof proceeds via a categorification, namely we use the …
stable $\infty $-categories. Our proof proceeds via a categorification, namely we use the …
The L-homology fundamental class for IP-spaces and the stratified Novikov conjecture
M Banagl, G Laures, JE McClure - arXiv preprint arXiv:1404.5395, 2014 - arxiv.org
An IP-space is a pseudomanifold whose defining local properties imply that its middle
perversity global intersection homology groups satisfy Poincar\'e duality integrally. We show …
perversity global intersection homology groups satisfy Poincar\'e duality integrally. We show …
Cycle maps on cohomology theories for dg-categories and their applications
S Mochizuki - arXiv preprint arXiv:2002.04373, 2020 - arxiv.org
In this article, we propose noncommutative versions of Tate conjecture and Hodge
conjecture. If we consider these conjectures for a dg-category of perfect complexes over a …
conjecture. If we consider these conjectures for a dg-category of perfect complexes over a …
Universal suspension via noncommutative motives
G Tabuada - Journal of Noncommutative Geometry, 2011 - ems.press
In this article we further the study of noncommutative motives, initiated in [5],[6],[28]. Our
main result is the construction of a simple model, given in terms of infinite matrices, for the …
main result is the construction of a simple model, given in terms of infinite matrices, for the …
[PDF][PDF] REGENSBURG RESEARCH SEMINAR SS 2023 SELMER K-THEORY
M HOYOIS, N KIPP - hoyois.app.uni-regensburg.de
Selmer K-theory is a localizing invariant of stable categories introduced by Clausen to give a
K-theoretic construction of the Artin map from the idele class group of a number field to its …
K-theoretic construction of the Artin map from the idele class group of a number field to its …
The non-nil-invariance of TP
R Horiuchi - arXiv preprint arXiv:1712.03187, 2017 - arxiv.org
Hesselholt defined a spectrum $\operatorname {TP}(X) $, the periodic topological cyclic
homology of a scheme $ X $, using topological Hochschild homology and the Tate …
homology of a scheme $ X $, using topological Hochschild homology and the Tate …
The non-nil-invariance of periodic topological cyclic homology
R Horiuchi - Homology, Homotopy and Applications, 2020 - intlpress.com
Periodic topological cyclic homology $\operatorname {TP} $ is a topological analogue of
periodic cyclic homology $\operatorname {HP} $. It is known that, for R an algebra over a …
periodic cyclic homology $\operatorname {HP} $. It is known that, for R an algebra over a …
[图书][B] Computations in Topological coHochschild Homology
S Klanderman - 2020 - search.proquest.com
In recent work, Hess and Shipley defined an invariant of coalgebra spectra called
topological coHochschild homology (coTHH). In 2018, Bohmann-Gerhardt-Høgenhaven …
topological coHochschild homology (coTHH). In 2018, Bohmann-Gerhardt-Høgenhaven …
A1-homotopy invariance of algebraic K-theory with coefficients and Kleinian singularities
G Tabuada - arXiv preprint arXiv:1502.05364, 2015 - arxiv.org
C. Weibel and Thomason-Trobaugh proved (under some assumptions) that algebraic K-
theory with coefficients is A1-homotopy invariant. In this article we generalize this result from …
theory with coefficients is A1-homotopy invariant. In this article we generalize this result from …
On the algebraic K-theory of truncated polynomial algebras in several variables
V Angeltveit, T Gerhardt, MA Hill… - arXiv preprint arXiv …, 2012 - arxiv.org
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting
variables, K (k [x_1,..., x_n]/(x_1^ a_1,..., x_n^ a_n)). This naturally leads to a new …
variables, K (k [x_1,..., x_n]/(x_1^ a_1,..., x_n^ a_n)). This naturally leads to a new …