Our geometric concepts evolved first through the discovery of Non-Euclidean geometry. The
discovery of quantum mechanics in the form of the noncommuting coordinates on the phase …

We develop the theory of semi-orthogonal decompositions and spherical functors in the
framework of stable∞-categories. We study the relative Waldhausen S-construction S∙(F) of …

In previous work by the first two authors, Frobenius and commutative algebra objects in the
category of spans of sets were characterized in terms of simplicial sets satisfying certain …

The symplectic geometry of higher Auslander algebras: Symmetric products of disks Page 1
Forum of Mathematics, Sigma (2021), Vol. 9:e10 1–49 doi:10.1017/fms.2021.2 RESEARCH …

We develop a novel combinatorial perspective on the higher Auslander algebras of type A, a
family of algebras arising in the context of Iyama's higher Auslander–Reiten theory. This …

We propose a generalization of the concept of a ribbon graph suitable to provide
combinatorial models for marked surfaces equipped with a G-structure. Our main insight is …

We calculate the twisted Hochschild and cyclic homology (in the sense of Kustermans,
Murphy and Tuset) of the coordinate algebra of the quantum SL (2) group relative to twisting …

We give a general method for computing the cyclic cohomology of crossed products by etale
groupoids, extending the Feigin-Tsygan-Nistor spectral sequences. In particular we extend …

It is known from the work of Feigin–Tsygan, Weibel and Keller that the cohomology groups of
a smooth complex variety X can be recovered from (roughly speaking) its derived category …

This article studies the algebraic structure of homology theories defined by a left Hopf
algebroid U over a possibly noncommutative base algebra A, such as for example …