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; …

Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-
equivariant spectra that we call F-nilpotent. This definition fits into the general theory of …

This paper is the first in a series in which we offer a new framework for hermitian K-theory in
the realm of stable∞-categories. Our perspective yields solutions to a variety of classical …

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 …

We systematically develop a theory of stratification in the context of tensor triangular
geometry and apply it to classify the localizing tensor-ideals of certain categories of spectral …

We develop a theory of cosupport and costratification in tensor triangular geometry. We
study the geometric relationship between support and cosupport, provide a conceptual …

In this book we prove (Thm. 4. 3.24) unified classification results for stable equivariant Γ-
principal bundles when the underlying homotopy type SΓ of the topological structure group Γ …

Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology
without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain …

There are fundamental open problems in the precise global nature of RR-field tadpole
cancellation conditions in string theory. Moreover, the non-perturbative lift as M5/MO5 …

The concept of orbifolds should unify differential geometry with equivariant homotopy theory,
so that orbifold cohomology should unify differential cohomology with proper equivariant …