[图书][B] Formal geometry and bordism operations

E Peterson - 2019 - books.google.com
This text organizes a range of results in chromatic homotopy theory, running a single thread
through theorems in bordism and a detailed understanding of the moduli of formal groups. It …

[HTML][HTML] Minimal atomic complexes

AJ Baker, JP May - Topology, 2004 - Elsevier
We define minimal atomic complexes and irreducible complexes, and we prove that they are
the same. The irreducible complexes admit homological characterizations that make them …

The 7-connected cobordism ring at 𝑝= 3

MA Hovey, DC Ravenel - Transactions of the American Mathematical …, 1995 - ams.org
In this paper, we study the cobordism spectrum $ MO\left\langle 8\right\rangle $ at the prime
$3 $. This spectrum is important because it is conjectured to play the role for elliptic …

$ K (2) $-local splittings of finite Galois extensions of $ MU\langle6\rangle $ and $ MString$

L Tokic - arXiv preprint arXiv:2411.16280, 2024 - arxiv.org
Using a Milnor-Moore argument we show that, $ K (2) $-locally at the prime $2 $, the spectra
$ MU\langle 6\rangle $ and $ MString $ split as direct sums of Morava $ E $-theories after …

[PDF][PDF] Calculating with topological André-Quillen theory, I: Homotopical properties of universal derivations and free commutative S-algebras

A Baker - arXiv preprint arXiv:1208.1868, 2012 - Citeseer
We adopt the viewpoint that topological Andé-Quillen theory for commutative S-algebras
should provide usable (co) homology theories for doing calculations in the sense traditional …

The homology of MSpin

V Giambalvo, DJ Pengelley - Mathematical Proceedings of the …, 1984 - cambridge.org
The homology of MSpin Page 1 Math. Proc. Gamb. Phil. Soc. (1984), 95, 427 427 Printed in
Great Britain The homology of MSpin BY V. GIAMBALVO AND DAVID J. PENGELLEY …

vn-Elements in ring spectra and applications to bordism theory

MA Hovey - Duke Mathematical Journal, 1997 - projecteuclid.org
Introduction. The work of Hopkins and Smith [HS] has shown that the sta-ble homotopy
category has layered periodic behavior. On the (p-local) sphere, the only non-nilpotent self …

String bordism and chromatic characteristics

M Szymik - Homotopy theory: tools and applications, 2013 - books.google.com
We introduce characteristics into chromatic homotopy theory. This parallels the prime
characteristics in number theory as well as in our earlier work on structured ring spectra and …

The ring structure of BoP

SO Kochman - CONTEMPORARY MATHEMATICS, 1993 - books.google.com
The ring structure of BoP Page 190 http://dx. doi. org/10.1090/conm/146/01222 Contemporary
Mathematics Volume 146, 1993 The Ring Structure of BoP, STANLEY O. KOCHMAN Dedicated …

The homotopy of MString and MU⟨ 6⟩ at large primes

M Hovey - Algebraic & Geometric Topology, 2008 - msp.org
The homotopy of MString and MU"426830A 6"526930B at large primes Page 1 Algebraic &
Geometric Topology 8 (2008) 2401–2414 2401 The homotopy of MString and MUh6i at large …