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Algebraic topology : proceedings of the international conference held March 21-24, 1988 / Mark Mahowald and Stewart Priddy, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- International Conference on Algebraic Topology, Corporate Author.
- Conference Name:
- International Conference on Algebraic Topology (1988 : Northwestern University), issuing body.
- International Conference on Algebraic Topology
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 96.
- Contemporary mathematics, 0271-4132 ; volume 96
- Language:
- English
- Subjects (All):
- Algebraic topology--Congresses.
- Algebraic topology.
- Physical Description:
- 1 online resource (365 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1989]
- Language Note:
- English
- Summary:
- This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
- Contents:
- ""Contents""; ""Preface""; ""Plenary talk titles""; ""Generalized Tate homology, homotopy fixed points and the transfer""; ""On the homogeneous invariants of a tensor algebra""; ""The relationship between complex bordism and K -theory for groups with periodic cohomology""; ""Elliptic cohomology, p-adic modular forms and Atkin's operator Up""; ""Triadic Van Kampen theorems and Hurewicz theorems""; ""The free loop space""; ""Smash products of summands of B(Z/p)n +""; ""Divisors and configurations on a surface""; ""Periodicity in Z / 4-equivariant stable homotopy theory""
- ""The unstable Adams spectral sequence for S3""""Zeroes of pullback vector fields and fixed point theory for bodies""; ""Homotopy commutativity and the EHP sequence""; ""A proof of Gray's conjecture""; ""Analytic functors, unstable algebras and cohomology of classifying spaces""; ""Statistical mechanics and the Alexander polynomial""; ""A quotient of the iterated Singer construction""; ""A generalization of a theorem of Heeke to the Siegel space of degree two""; ""A Koszul algebra whose cohomology is the E3-term of the May spectral sequence for the Steenrod algebra""
- ""K-theory and unstable homotopy groups""""The elliptic character and the Witten genus""; ""On the characteristic ring of flat bundles defined over a number field""; ""Loops on the 3-sphere and umbral calculus""; ""Characteristic classes and 2-modular representations of some sporadic simple groups""; ""On the connectivity of the classifying spaces for foliations""; ""Maximal abelian subgroups of Spinor groups and error-correcting codes""
- Notes:
- "The proceedings of the International Conference on Algebraic Topology was held at Northwestern University, Evanston, Illinois, from March 21-24, 1988 ..."--Title page verso.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7684-8
- 0-8218-5429-1
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