John Patrick Campbell Greenlees's Books

Rational $S^1$-Equivariant Stable Homotopy Theory

By: John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

Rational $S^1$-Equivariant Stable Homotopy Theory

By: John Patrick Campbell Greenlees

The memoir presents a systematic study of rational S1-equivariant cohomology theories, and a complete algebraic model for them. It provides a classification of such cohomology theories in simple algebraic terms and a practical means of calculation. The power of the model is illustrated by analysis of the Segal conjecture, the behaviour of the Atiyah-Hirzebruch spectral sequence, the structure of S1-equivariant K-theory, and the rational behaviour of cyclotomic spectra and the topological cyclic homology construction.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

306

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821810014

ISBN 13

9780821810019

Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

328

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821851896

ISBN 13

9780821851890

The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

144

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833669

ISBN 13

9780821833667

Generalized Tate Cohomology

By: John Patrick Campbell Greenlees,J. Peter May

Write a review Read reviews Take a Quiz Solve Book Puzzle

Generalized Tate Cohomology

By: John Patrick Campbell Greenlees,J. Peter May

Let [italic capital]G be a compact Lie group, [italic capitals]EG a contractible free [italic capital]G-space and let [italic capitals]E~G be the unreduced suspension of [italic capitals]EG with one of the cone points as basepoint. Let [italic]k*[over][subscript italic capital]G be a [italic capital]G-spectrum. Let [italic capital]X+ denote the disjoint union of [italic capital]X and a [italic capital]G-fixed basepoint. Define the [italic capital]G-spectra [italic]f([italic]k*[over][subscript italic capital]G) = [italic]k*[over][subscript italic capital]G [up arrowhead symbol] [italic capitals]EG+, [italic]c([italic]k*[over][subscript italic capital]G) = [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G), and [italic]t([italic]k[subscript italic capital]G)* = [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G) [up arrowhead symbol] [italic capitals]E~G. The last of these is the [italic capital]G-spectrum representing the generalized Tate homology and cohomology theories associated to [italic]k[subscript italic capital]G. Here [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G) is the function space spectrum. The authors develop the properties of these theories, illustrating the manner in which they generalize the classical Tate-Swan theories.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

193

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826034

ISBN 13

9780821826034

Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

328

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821851896

ISBN 13

9780821851890

Rational $S^1$-Equivariant Stable Homotopy Theory

By: John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

Rational $S^1$-Equivariant Stable Homotopy Theory

By: John Patrick Campbell Greenlees

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

306

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821810014

ISBN 13

9780821810019

The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

144

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833669

ISBN 13

9780821833667

Homotopy Methods in Algebraic Topology

Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999

By: Nicholas Kuhn

Write a review Read reviews Take a Quiz Solve Book Puzzle

Homotopy Methods in Algebraic Topology

Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999

By: Nicholas Kuhn

This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

370

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826212

ISBN 13

9780821826218

Book's by John Patrick Campbell Greenlees

Rational $S^1$-Equivariant Stable Homotopy Theory

Rational $S^1$-Equivariant Stable Homotopy Theory

Connective Real $K$-Theory of Finite Groups

Connective Real $K$-Theory of Finite Groups

The Connective K-Theory of Finite Groups

The Connective K-Theory of Finite Groups

Generalized Tate Cohomology

Generalized Tate Cohomology

Connective Real $K$-Theory of Finite Groups

Connective Real $K$-Theory of Finite Groups

Rational $S^1$-Equivariant Stable Homotopy Theory

Rational $S^1$-Equivariant Stable Homotopy Theory

The Connective K-Theory of Finite Groups

The Connective K-Theory of Finite Groups

Homotopy Methods in Algebraic Topology

Homotopy Methods in Algebraic Topology

Username

Password

Username

Password

Password again

Birthday

Email