Bordism, Stable Homotopy and Adams Spectral Sequences


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Volume 5 Issue 4, — Issue 3, — Issue 2, — Issue 1, 1— Volume 4, 2 issues. Volume 4 Issue 2, — Issue 1, 1— Volume 3, 2 issues. Volume 3 Issue 2, — Issue 1, 1— Volume 2, 2 issues. Volume 2 Issue 2, — Issue 1, 1— Volume 1, 2 issues. Volume 1 Issue 2, — Issue 1, 1— As an important intermediate step, we identify the ring of coefficients of the corresponding geometric fixed point spectrum, revealing some interesting algebra. This is a first computation of its kind for groups which are not cyclic p —groups.

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DOI: Each chapter concludes with a guide for further study. The contents of Kochman's book look promising to the would-be student, with five well-balanced chapters augmented by sections on further reading … clearly self-contained … beautifully produced. AMS Homepage. Join our email list. Sign up. Ordering on the AMS Bookstore is limited to individuals for personal use only. Advanced search. Author s Product display : Stanley O. Volume: 7. Publication Month and Year: Copyright Year: Hopkins Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups , Ethan S.

The Burnside ring of finite G-sets 2. The J-homomorphism and quadratic forms 3. Permutation representations 5. The Burnside ring of a compact Lie group 6. Induction theory 7. Equivariant homology and cohomology 8. Equivariant homotopy theory 9. Homotopy equivalent group representations Geometric modules over the Burnside ring Douglas, John Francis, Andre G.

Henriques, Michael A. Dwyer, Philip S. Hirschhorn and Daniel M. Hirschhorn, Daniel M. Kan and Jeffrey H. Dwyer and D. Kan Homotopy theories and model categories , W. Dwyer and J. Spalinski Homotopy theory and classifying spaces , Copenhagen lecture notes, , pages.

BORDISM, STABLE HOMOTOPY AND ADAMS SPECTRAL SEQUENCES (Fields Institute Monographs 7)

Slides W. Dwyer Codimension one immersions and the Kervaire invariant one problem Peter J. This is the paper where category theory was invented! Samuel Eilenberg and G.

John McCleary (Vassar College, NY) / Discussing structure and applications of spectral sequences

Samuel Eilenberg and John C. Elmendorf, I. Kriz, and J. Kriz, M. Mandell, and J. Elmendorf and J. Fryed and G. Goerss and M. Hopkins Simplicial Homotopy Theory , P. Goerss and J. Goerss and K. Schemmerhorn Formal completion of the Jacobian of plane curves and higher real K -theories V. Gorbounov and M. Gorchinskiy and V.

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Fachbereich Mathematik und Informatik

Gross and M. Gross and N. The multiplicative Segal machine , Bert Guillou , J. Osorno , Javier J. Hambleton, L. Taylor, and E. Hilton and U. Hovey, B. Shipley, and J. Hunton and Paul R. Im and G. Johnson and W. Kervaire and John W. Kochman Stable homotopy groups of spheres. A computer-assisted approach, MAY, and J. Lewis, J. May, and M. Makkai and J. Mandell and J. Mandell, J. May, S. May and J. McClure Equivariant infinite loop space theory I. The space level story , J. Osorno More concise algebraic topology: Localization, completion, and model categories , Ponto Parametrized Homotopy Theory , J.

Mazel-Gee , E. Peterson and N. Mosher and Martin C. Novikov and I. Taimonov, editors, translated by V. Rudyak Z 2 -equivariant James construction , Slawomir Rybicki Stable equivariant abelianization, its properties, and applications , Pedro F. Schlank and Nathaniel Stapleton Etude de la categorie des algebres de Hopf commutatives connexes sur un corps , Colette Schoeller Strong cofibrations and fibrations in enriched categories , R. Smirnov Bott's periodicity theorem and differentials of the Adams spectral sequence of homotopy groups of spheres , V.

Free download from Springer , chapter by chapter or entire book 53MB. Edwin Spanier, Function Spaces and Duality , Hazewinkel , Elsevier Chapter IV : Definitions of higher K-theory 92 pp. References Charles Weibel A higher chromatic analogue of the image of J , What are Sifted Colimits?

On the Structure and Applications of the Steenrod Algebra , Stable homotopy theory , On the groups J X -IV , Stable homotopy and generalised homology , , Adams' blue book. Localisation and completion with an addendum on the use of Brown-Peterson homology in stable homotopy pages, , revised and supplemented, Uniqueness of BSO. Geometric approach towards stable homotopy groups of spheres. Kervaire Invariant English, 27 pages, January, The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability , A geometrical proof of Browder's result on the vanishing of the Kervaire invariant , Pyotr M.

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The relationship between framed bordism and skew-framed bordism , Units of ring spectra and Thom spectra , Published version , Hopkins, Charles Rezk. Elliptic spectra, the Witten genus, and the theorem of the cube. New families in the homotopy of the motivic sphere spectrum , Vigleik Angeltveit. Graded Tambara Functors , Vigleik Angeltveit and Anna Marie Bohmann.

Chromatic fracture cubes , Omar Antolin-Camarena and Tobias Barthel. A simple universal property of Thom ring spectra , Equivariant stable homotopy groups of spheres with involutions, I , Vector bundles and homogeneous spaces , K -theory and reality , On the periodicity theorem for complex vector bundles , On the Tate spectrum of tmf at the prime 2 , Husemoller-Witt decompositions and actions of the Steenrod algebra , Tensor triangular geometry , Homological Localisation of Model Categories , Chromatic completion , On the construction of functorial factorizations for model categories , Chromatic homotopy theory is asymptotically algebraic , Monochromatic homotopy theory is asymptotically algebraic , The Balmer spectrum of the equivariant homotopy category of a finite abelian group , Parametrised higher category theory and higher algebra, ?

Computation of the homotopy of the spectrum tmf. Hans Baues. Secondary derived functors and the Adams spectral sequence.

Oberwolfach Reports

Hans Baues and Mamuka Jibladze. Computation of the E 3 -term of the Adams spectral sequence. On the E 2 -term of the bo -Adams spectral sequence , Mark Behrens. The Goodwillie tower and the EHP sequence , Detecting exotic spheres in low dimensions using coker J , Hopkins, and Mark Mahowald.

A modular description of the K 2 -local sphere at the prime 3. Root invariants in the Adams spectral sequence. Topological automorphic forms. Mark Behrens and Tyler Lawson. Topological automorphic forms on U 1,1. Mark Behrens and Kyle Ormsby. On the ring of cooperations for 2-primary connective topological modular forms , Mark Behrens and Satya Pemmaraju. A C 2 -equivariant analog of Mahowald's Thom spectrum theorem , Mark Behrens and Dylan Wilson.

Mahowald , Sadofsky : vn telescopes and the Adams spectral sequence

Axiomatic homotopy theory for operads , On an extension of the notion of Reedy category , Julia Bergner. On the periodic v 2 -self-map of A 1 , Notes on Commutation of Limits and Colimits , New model categories from old , Andrew Blumberg and Michael Hill. Homotopical resolutions associated to deformable adjunctions , Andrew Blumberg and Emily Riehl. The Burnside category Course on equivariant homotopy theory , Andrew Blumberg.

Conditionally Convergent Spectral Sequences , Topological resolutions in K 2 -local homotopy theory at the prime 2 , Irina Bobkova and Paul G. Global orthogonal spectra , preprint. Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts , La cohomologie mod 2 de certains espaces homogenes , The Stable Homotopy of the Classical Groups , Bisets and associated functors , Green functors and Mackey functors , available online.

The mod- p lower central series and the Adams spectral sequence , , the six author paper. A spectral sequence for the homotopy of nice spaces , Homotopy limits, Completions and Localizations , , the yellow monster. Unstable localization and periodicity , On K n -equivalences of spaces , Cosimplicial resolutions and homotopy spectral sequences in model categories , Equivariant cohomology theories , 3 page summary Equivariant cohomology theories, Front matter Equivariant classical cohomology Equivariant obstruction theory Function spaces, fibrations and spectra Generalized equivariant cohomology.

Topology and Geometry , , 85MB.

Additional suggested articles

The Kervaire invariant of framed manifolds and its generalization , Generalizations of the Kervaire invariant. Abstract homotopy theory and generalized sheaf cohomology , From groups to groupoids: a brief survey , Witt Vectors and Equivariant Ring Spectra , Witt Vectors and Tambara functors , Equivariant structure on smash powers , Resolutions of four modules over the algebra A 1. Differentials in the homological homotopy fixed point spectral sequence , Robert R.

Bruner and John Rognes.

Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences Bordism, Stable Homotopy and Adams Spectral Sequences

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