Strictly commutative complex orientation theory
From MaRDI portal
Publication:667597
DOI10.1007/s00209-017-2009-6zbMath1417.55012arXiv1603.00047OpenAlexW2963804949MaRDI QIDQ667597
Tyler Lawson, Michael J. Hopkins
Publication date: 1 March 2019
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.00047
Stable homotopy theory, spectra (55P42) (K)-theory and homology; cyclic homology and cohomology (19D55) Topological (K)-theory (55N15)
Related Items
Norm coherence for descent of level structures on formal deformations, An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra, Connective models for topological modular forms of level \(n\), Topology. Abstracts from the workshop held July 24--30, 2022, Obstruction theory and the level n elliptic genus, Algebraic theories of power operations, Hermitian K-theory for stable \(\infty\)-categories. I: Foundations
Cites Work
- Unnamed Item
- Unnamed Item
- The Picard group of topological modular forms via descent theory
- For complex orientations preserving power operations, \(p\)-typicality is atypical
- \(H_{\infty}\) ring spectra and their applications
- A spectrum level rank filtration in algebraic \(K\)-theory
- \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
- Homotopy theory of \(A_{\infty}\) ring spectra and applications to \(MU\)-modules
- Isogenies of formal group laws and power operations in the cohomology theories \(E_ n\)
- Norm coherence for descent of level structures on formal deformations
- Elementary proofs of some results of cobordism theory using Steenrod operations
- The geometry of iterated loop spaces
- Strictly Commutative Realizations of Diagrams Over the Steenrod Algebra and Topological Modular Forms at the Prime 2
- Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory
- Filtered spectra arising from permutative categories
- Some properties of the Thom spectrum over loop suspension of complex projective space
- The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
- Power operations in elliptic cohomology and representations of loop groups
- The sigma orientation is an H [infinity map]
- Generalized group characters and complex oriented cohomology theories
- A Stable Decomposition of ω N Sn X
- Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture
