We consider the algebraic K-theory of a truncated polynomial algebra in several commuting
variables,. This naturally leads to a new generalization of the big Witt vectors. If k is a perfect …

For any perfect fibration $ E\longrightarrow B $, there is a “free loop transfer map” $
LB_+\longrightarrow LE_+ $, defined using topological Hochschild homology. We prove that …

Chen-Khovanov Spectra for Tangles Page 1 Michigan Math. J. 71 (2022), 401–443 https://doi.org/10.1307/mmj/20195816
Chen–Khovanov Spectra for Tangles TYLER LAwSON, ROBERT LIPSHITz, & SUCHARIT …

arXiv:2104.12907v3 [math.GT] 28 Sep 2022 Page 1 HOMOTOPY FUNCTORIALITY FOR
KHOVANOV SPECTRA TYLER LAWSON, ROBERT LIPSHITZ, AND SUCHARIT SARKAR …

In this article we continue the development of a theory of noncommutative motives, initiated
in [30]. We construct categories of A1-homotopy noncommutative motives, describe their …

We give an alternative treatment of the foundations of parametrized spectra, with an eye
toward applications in fixed-point theory. We cover most of the central results from the book …

In this article we further the study of noncommutative numerical motives, initiated in [30, 31].
By exploring the change-of-coefficients mechanism, we start by improving some of the main …

The notion of Hochschild homology of a dg algebra admits a natural dualization, the
coHochschild homology of a dg coalgebra, introduced in [23] as a tool to study free loop …

We use assembly maps to study 𝐓𝐂⁢(𝔸⁢[G]; p), the topological cyclic homology at a prime
p of the group algebra of a discrete group G with coefficients in a connective ring spectrum …

Quantum topology began in the 1980s with the Jones polynomial [29] and Witten's
reinterpretation of it via Yang–Mills theory [59]. Witten's work was at a physical level of rigor …