3 papers
math.AT2025
Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
David Loiseaux, Mathieu Carrière, Andrew J. Blumberg
In this article, we introduce a new parameterized family of topological descriptors, taking the form of candidate decompositions, for multi-parameter persistence modules, and we id…
math.AT2024
Relative cyclotomic structures and equivariant complex cobordism
Andrew J. Blumberg, Michael A. Mandell, Allen Yuan
We describe a structure on a commutative ring (pre)cyclotomic spectrum that gives rise to a (pre)cyclotomic structure on topological Hochschild homology () relative to its…
math.AT2024
The homotopy theory of cyclotomic spectra, 10 years later
Andrew J. Blumberg, Michael A. Mandell
This paper studies the foundations of the geometric fixed point functor in multiplicative equivariant stable homotopy theory. We introduce a new class of equivariant orthogonal spe…