The cotangent complex and Thom spectra
نویسندگان
چکیده
منابع مشابه
Units of Ring Spectra and Thom Spectra
We review and extend the theory of Thom spectra and the associated obstruction theory for orientations. Specifically, we show that for an E∞ ring spectrum A, the classical construction of gl1A, the spectrum of units, is the right adjoint of the functor Σ∞+ Ω ∞ : ho(connective spectra) → ho(E∞ ring spectra). To a map of spectra f : b → bgl1A, we associate an E∞ A-algebra Thom spectrum Mf , which...
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We define the cotangent complex of a morphism of fine log schemes, prove that it is functorial, and construct under certain restrictions a transitivity triangle. We also discuss its relationship with deformation theory.
متن کاملTHE COTANGENT COMPLEX Contents
Contents 1. Introduction 1 2. Advice for the reader 2 3. The cotangent complex of a ring map 2 4. Simplicial resolutions and derived lower shriek 3 5. Constructing a resolution 6 6. Functoriality 11 7. The fundamental triangle 13 8. Localization andétale ring maps 17 9. Smooth ring maps 19 10. Comparison with the naive cotangent complex 19 11. A spectral sequence of Quillen 21 12. Comparison wi...
متن کاملThe Cotangent Complex
08P5 Contents 1. Introduction 1 2. Advice for the reader 2 3. The cotangent complex of a ring map 2 4. Simplicial resolutions and derived lower shriek 3 5. Constructing a resolution 6 6. Functoriality 11 7. The fundamental triangle 13 8. Localization andétale ring maps 17 9. Smooth ring maps 19 10. Comparison with the naive cotangent complex 19 11. A spectral sequence of Quillen 21 12. Comparis...
متن کاملTHE COTANGENT COMPLEX Contents
Contents 1. Introduction 1 2. Advice for the reader 2 3. The cotangent complex of a ring map 2 4. Simplicial resolutions and derived lower shriek 3 5. Constructing a resolution 6 6. Functoriality 11 7. The fundamental triangle 13 8. Localization andétale ring maps 17 9. Smooth ring maps 19 10. Comparison with the naive cotangent complex 19 11. A spectral sequence of Quillen 21 12. Comparison wi...
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ژورنال
عنوان ژورنال: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
سال: 2020
ISSN: 0025-5858,1865-8784
DOI: 10.1007/s12188-020-00226-8