We set up a general theory of weak or homotopy-coherent enrichment in an arbitrary
monoidal∞-category. Our theory of enriched∞-categories has many desirable properties; …

The language of ends and (co) ends provides a natural and general way of expressing
many phenomena in category theory, in the abstract and in applications. Yet although …

We study the existence and left properness of transferred model structures for “monoid-like”
objects in monoidal model categories. These include genuine monoids, but also all kinds of …

We prove that the rank of the cohomology of a closed symplectic manifold with coefficients in
a field of characteristic $ p $ is smaller than the number of periodic orbits of any non …

The goal of this paper is to provide the last equivalence needed in order to identify all known
models for (∞, 2) (∞,2)‐categories. We do this by showing that Verity's model of saturated 2 …

The idea for this book was conceptualized during a research visit to Macquarie University in
the summer of 2017. At first, I was interested in collecting exotic examples of model …

We prove a rectification theorem for enriched∞–categories: if V is a nice monoidal model
category, we show that the homotopy theory of∞–categories enriched in V is equivalent to …

We establish a highly flexible condition that guarantees that all colored symmetric operads
in a symmetric monoidal model category are admissible, that is, the category of algebras …

This chapter discusses non-technical account of some ideas in the theory of∞-categories,
as originally introduced by Boardman–Vogt in their study of homotopy-invariant algebraic …

Making use of the theory of noncommutative motives, we characterize the topological
Dennis trace map as the unique multiplicative natural transformation from algebraic K-theory …