157 citations · 749 across the 30 of their papers we have counts for
12 papers · 1 filter
Norms for compact Lie groups in equivariant stable homotopy theory
Andrew J. Blumberg, Michael A. Hill, Michael A. Mandell
We propose a construction of an analogue of the Hill-Hopkins-Ravenel relative norm in the context of a positive dimensional compact Lie group and closed subgroup $H…
Operads and Operadic Algebras in Homotopy Theory
Michael A. Mandell
This is an expository article about operads in homotopy theory written as a chapter for an upcoming book. It concentrates on what the author views as the basic topics in the homoto…
Structures and Derived Koszul Duality in String Topology
Andrew J. Blumberg, Michael A. Mandell
We construct an equivalence of algebras between two models for the Thom spectrum of the free loop space that are related by derived Koszul duality. To do this, we describe…
E_n Genera
Steven Greg Chadwick, Michael A. Mandell
Let R be an E_2 ring spectrum with zero odd dimensional homotopy groups. Every map of ring spectra MU to R is represented by a map of E_2 ring spectra. If 2 is invertible in pi_0(R…
The Multiplication on BP
Maria Basterra, Michael A. Mandell
BP is an E_4 ring spectrum. The E_4 structure is unique up to automorphism.
Homology of E_n Ring Spectra and Iterated THH
Maria Basterra, Michael A. Mandell
We describe an iterable construction of THH for an E_n ring spectrum. The reduced version is an iterable bar construction and its n-th iterate gives a model for the shifted cotange…