Homology, Homotopy and Applications

Table of Contents

3 × 3 lemma for star-exact sequences

A representability theorem for some huge abelian categories

Matrix factorizations over projective schemes

Formality of Koszul brackets and deformations of holomorphic Poisson manifolds

Grid diagrams and shellability

Automorphisms of Hurwitz series

The unitary symmetric monoidal model category of small C*-categories

Weight structure on Kontsevich’s noncommutative mixed motives

The equivariant slice filtration: a primer

Homology decompositions and groups inducing fusion systems

Every binary self-dual code arises from Hilbert symbols

Chromatic subdivision of a simplicial complex

$K$-motives of algebraic varieties

Quillen model structures on the category of graphs