2 Field theories 2.1 d-dimensional field theories 2.2 Clifford algebras and Fock modules 2.3
Clifford linear field theories 2.4 Twisted Clifford algebras and Fock modules 3 K-theory and 1 …

This paper is a survey of our mathematical notions of Euclidean field theories as models for
(the cocycles in) a cohomology theory. This subject was pioneered by Graeme Segal [Se1] …

This paper is an expository account of the relationship between elliptic cohomology and the
emerging subject of derived algebraic geometry. We begin in Sect. 1 with an overview of the …

Redshift and multiplication for truncated Brown–Peterson spectra Page 1 Annals of
Mathematics 196 (2022), 1277–1351 https://doi.org/10.4007/annals.2022.196.3.6 Redshift and …

We introduce an axiomatic framework for the parallel transport of connections on gerbes. It
incorporates parallel transport along curves and along surfaces, and is formulated in terms …

We propose a categorification of the Chern character that refines earlier work of Toën and
Vezzosi and of Ganter and Kapranov. If X is an algebraic stack, our categorified Chern …

We develop a (2-) categorical generalization of the theory of group representations and
characters. We categorify the concept of the trace of a linear transformation, associating to …

We verify a conjecture of Rognes by establishing a localization cofiber sequence of spectra
K(Z)→K(ku)→K(KU)→ΣK(Z) for the algebraic K-theory of topological K-theory. We deduce …

We give a simple argument to detect chromatic redshift in the algebraic K-theory of E1-ring
spectra and give two applications: we show for n 1 that KE n/, the algebraic K-theory of any …

Bimonoidal categories are categorical analogues of rings without additive inverses. They
have been actively studied in category theory, homotopy theory, and algebraic $ K $-theory …