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Tuesday, July 21, 2020 | History

4 edition of Twisted tensor products related to the cohomology of the classifying spaces of loop groups found in the catalog.

Twisted tensor products related to the cohomology of the classifying spaces of loop groups

by Katsuhiko Kuribayashi

  • 388 Want to read
  • 30 Currently reading

Published by American Mathematical Society in Providence, RI .
Written in English

    Subjects:
  • Spectral sequences (Mathematics),
  • Topology.,
  • Cohomology operations.

  • Edition Notes

    Includes bibliographical references.

    StatementKatsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto.
    SeriesMemoirs of the American Mathematical Society ;, no. 849
    ContributionsMimura, M. 1938-, Nishimoto, Tetsu, 1969-
    Classifications
    LC ClassificationsQA3 .A57 no. 849, QA612.8 .A57 no. 849
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL3431500M
    ISBN 100821838563
    LC Control Number2005057159

      Given this result it is possible to choose a classifying space K for P O (ℓ 2) that is a topological monoid as required: One may, for example, use the bar construction to explicitly obtain a product K of two Eilenberg–MacLane spaces and equip it with a multiplication given by explicit models of addition and cup‐products on bar Cited by: 4. Full text of "On the topology of the group of invertible elements" See other formats On the topology of the group of invertible elements - A Survey - by Herbert Schroder The topological structure of the group of invertible elements in a unital Banach algebra (regular group for short) has attracted topologists from the very beginning of homotopy theory.

    K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group Cohomology of Finite Groups Alejandro Adem, R. James Milgram (auth.) The cohomology of groups has, since its beginnings in the s and s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory.

    The result is an abelian group K(X) called the "K-theory" of X. And in fact it's a ring, since we can also take tensor products of vector bundles! The Atiyah-Segal completion theorem concerns K(X) when X is the classifying space of a topological group G. As explained in "week", this is a space BG with a principal G-bundle over it: EG → BG. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.


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Twisted tensor products related to the cohomology of the classifying spaces of loop groups by Katsuhiko Kuribayashi Download PDF EPUB FB2

By applying the notion of a twisted tensor product in the senses of Brown as well as of Hess, we construct an economical injective resolution to compute, as an algebra, the cotorsion product which is the \(E_2\)-term of the cobar type Eilenberg-Moore spectral sequence converging to the cohomology of classifying space of the loop group \(LG\).

Twisted tensor products related to the cohomology of the classifying spaces of loop groups / Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Katsuhiko Kuribayashi; M Mimura; Tetsu Nishimoto.

Get this from a library. Twisted tensor products related to the cohomology of the classifying spaces of loop groups. [Katsuhiko Kuribayashi; M Mimura; Tetsu Nishimoto]. Free Online Library: Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups.(Brief Article, Book Review) by "SciTech Book News"; Publishing industry Library and information science Science and technology, general Books Book reviews.

Kuribayashi, M. Mimura, T. NishimotoTwisted tensor products related to the cohomology of the classifying spaces of loop groups Mem. Math. Soc., () () vi + 85 pp., MR (k)Cited by: 1. Loop groups and twisted K-theory III of conformal field theories associated to loop groups as twisted equivariant K-theory.

F}_{p})$ on the loop cohomology of the classifying space. The computation of the mod p cohomology of classifying spaces of other Lie groups due to Mimura and Sambe ([33],[34],[35]) has also told us that a. Global analysis on foliated spaces, 2d ed. Steenrod squares in spectral sequences.

Lie groups and antomorphic forms; proceedings. Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups. Toric topology; proceedings. Twisted tensor products related to the cohomology of the classifying spaces of loop groups / Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto.

PUBLISHER: Providence, R.I.: American Mathematical Society, c   Simplicial Abelian groups Eilenberg-MacLane complexes K(rr, n)'s and cohomology operations The k-invariants of Postnikov systems Bibliographical notes on chapter V VI.

LOOP GROUPS, ACYCLIC MODELS, AND TWISTED TENSOR PRODUCTS Loop groups The functors G, W, and E Acyclic models The Eilenberg-Zilber Pages: Twisted tensor products related to the cohomology of the classifying spaces of loop groups - Katsuhiko Kuribayashi, Mamoru Mimura and Tetsu Nishimoto: MEMO/ Equivalences of classifying spaces completed at the prime two - Bob Oliver: MEMO/ memoirs of the american mathematical society (共59册), 这套丛书还有 《On Maps from Loop Suspensions to Loop Spaces And the Shuffle Relations on the Cohen Groups》,《Affine Flows on 3-Manifolds》,《Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups》,《Hyperbolically Embedded Subgroups and.

Algebraic Methods in Unstable Homotopy Theory This is a comprehensive up-to-date treatment of unstable homotopy. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups.

memoirs of the american mathematical society (共59册), 这套丛书还有 《On Maps from Loop Suspensions to Loop Spaces And the Shuffle Relations on the Cohen Groups》,《The Decomposition and Classification of Radiant Affine 3-Manifolds》,《Spectral Asymptotics on Degenerating Hyperbolic 3-manifolds》,《Twisted Tensor Products Related to Author: Leonid Positselski.

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy : Joseph Neisendorfer.

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological gy groups were originally defined in algebraic r constructions are available in a wide variety of other contexts, such as abstract algebra, groups, Lie algebras.

William G. Dwyer, Homology decompositions for classifying spaces of finite groups. William G. Dwyer, Sharp homology decompositions for classifying spaces of finite groups.

William G. Dwyer,Exotic cohomology for GL(n,Z[1/2]). William G. Dwyer, E. Dror-Farjoun, and D. Ravenel, Bousfield localizations of classifying spaces of nilpotent groups. The Geometry of Iterated Loop Spaces, book retyped by Nicholas Hamblet, J. May: Classifying spaces and fibrations, J.

May: E ∞ ring spaces and E ∞ ring spectra, J. May with contributions by Frank Quinn, Nigel Ray, and Jørgen Tornehave: Pairings of categories and spectra, Relation to Morse theory and loop spaces Relation to classifying spaces of K-theory Analog for free bosons Symplectic vector spaces and the Heisenberg algebra Bargmann representation Real polarization Metaplectic group as the analog of the Spin group Bogoliubov transformations File Size: 1MB.

The Chow groups are defined by taking groups of cycles modulo rationally trivial cycles. One then has a cycle class map to etale cohomology (over the base field), and for. Lens spaces provide the first non-trivial examples of spaces that are homotopy equivalent but not homeomorphic.

Milnor’s celebrated exotic spheres provided the first examples of manifolds that are homeomorphic but not diffeomorphic! In order to detect the difference between two spaces, one first checks the usual suspects like homotopy groups, and Cited by: 3.Hochschild Homology As Cohomology of Loop Space Objects (Dec 2, ) Notes on Hochschild homology in terms of functions on higher loop space objects.

Cocycles for Differential Characteristic Classes (Nov 7, ) Some aspects of Chern–Weil theory for higher bundles over higher Lie groups. Structures in a Cohesive ∞-Topos (Nov 6, ).A loop in Xm ∩ Xn representing a generator of π1 (Xm ∩ Xn) is homotopic in Xm to a loop representing m times a generator, and in Xn to a loop representing n times a generator.

Van Kampen’s theorem then says that π1 (X) is the quotient of the free group on generators a and b obtained by factoring out the normal subgroup generated by the.