Redshift and multiplication for truncated Brown--Peterson spectra

J Hahn, D Wilson - Annals of Mathematics, 2022 - projecteuclid.org
Redshift and multiplication for truncated Brown–Peterson spectra Page 1 Annals of
Mathematics 196 (2022), 1277–1351 https://doi.org/10.4007/annals.2022.196.3.6 Redshift and …

On the boundaries of highly connected, almost closed manifolds

R Burklund, J Hahn, A Senger - arXiv preprint arXiv:1910.14116, 2019 - arxiv.org
Building on work of Stolz, we prove for integers $0\le d\le 3$ and $ k> 232$ that the
boundaries of $(k-1) $-connected, almost closed $(2k+ d) $-manifolds also bound …

[HTML][HTML] Local duality in algebra and topology

T Barthel, D Heard, G Valenzuela - Advances in Mathematics, 2018 - Elsevier
The first goal of this paper is to provide an abstract framework in which to formulate and
study local duality in various algebraic and topological contexts. For any stable∞-category C …

Bimonoidal Categories, -Monoidal Categories, and Algebraic -Theory

N Johnson, D Yau - arXiv preprint arXiv:2107.10526, 2021 - arxiv.org
Bimonoidal categories are categorical analogues of rings without additive inverses. They
have been actively studied in category theory, homotopy theory, and algebraic $ K $-theory …

Secondary power operations and the Brown--Peterson spectrum at the prime 2

T Lawson - Annals of Mathematics, 2018 - projecteuclid.org
The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the
Brown--Peterson spectrum. We will construct a secondary operation in mod-2 homology and …

[图书][B] Handbook of homotopy theory

H Miller - 2020 - books.google.com
The Handbook of Homotopy Theory provides a panoramic view of an active area in
mathematics that is currently seeing dramatic solutions to long-standing open problems, and …

Examples of disk algebras

S Devalapurkar, J Hahn, T Lawson, A Senger… - arXiv preprint arXiv …, 2023 - arxiv.org
We produce refinements of the known multiplicative structures on the Brown--Peterson
spectrum $ BP $, its truncated variants $ BP\langle n\rangle $, Ravenel's spectra $ X (n) …

E n-spectra and dyer-lashof operations

T Lawson - Handbook of homotopy theory, 2020 - taylorfrancis.com
Cohomology operations are absolutely essential in making cohomology an effective tool for
studying spaces. In ordinary algebra, commutativity is an extremely useful property …

En genera

SG Chadwick, MA Mandell - Geometry & Topology, 2016 - msp.org
En genera Page 1 msp Geometry & Topology 19 (2015) 3193–3232 En genera STEVEN
GREG CHADWICK MICHAEL AMandell Let R be an E2 ring spectrum with zero odd-dimensional …

The Brown-Peterson spectrum is not at odd primes

A Senger - arXiv preprint arXiv:1710.09822, 2017 - arxiv.org
We show that the odd-primary Brown-Peterson spectrum $\mathrm {BP} $ does not admit the
structure of an $\mathbb {E} _ {2 (p^ 2+ 2)} $ ring spectrum and that there can be no map …