Contemporary Mathematics 1989; 350 pp; softcover Volume: 96 ISBN10: 0821851020 ISBN13: 9780821851029 List Price: US$60 Member Price: US$48 Order Code: CONM/96
 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 topicssuch as knot theory, divisors and configurations on surfaces, foliations, and Siegel spacesare also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource. Table of Contents  A. Adem, R. L. Cohen, and W. G. Dwyer  Generalized Tate homology, homotopy fixed points and the transfer
 D. J. Anick  On the homogeneous invariants of a tensor algebra
 A. Bahri, M. Bendersky, and P. Gilkey  The relationship between complex bordism and \(K\)theory for groups with periodic cohomology
 A. Baker  Elliptic cohomology, \(p\)adic modular forms and Atkin's operator \(U_p\)
 R. Brown  Triadic Van Kampen theorems and Hurewicz theorem
 D. Burghelea  The freeloop space
 D. P. Carlisle and N. J. Kuhn  Smash products of summands of \(B(\Bbb Z/p)^n+\)
 F. R. Cohen, R. L. Cohen, B. Mann, and R. J. Milgram  Divisors and configuration on a surface
 M. C. Crabb  Periodicity in \(\Bbb Z/4\)equivariant stable homotopy theory
 E. B. Curtis and M. Mahowald  The unstable Adams spectral sequence for \(S^3\)
 D. H. Gottlieb  Zeroes of pullback vector fields and fixed point theory for bodies
 B. Gray  Homotopy commutativity and the EHP sequence
 J. R. Harper  A proof of Gray's conjecture
 H.W. Henn, J. Lannes, and L. Schwartz  Analytic functors, unstable algebras and cohomology of classifying spaces
 L. Kauffman  Statistical mechanics and the Alexander polynomial
 J. Kulich  A quotient of the iterated Singer construction
 R. Lee and S. H. Weintraub  A generalization of a theorem of Hecke to the Siegel space of degree two
 W.H. Lin  A Koszul algebra whose cohomology is the \(E_3\)term of the May spectral sequence for the Steenrod algebra
 M. Mahowald and R. Thompson  \(K\)theory and unstable homotopy groups
 H. Miller  The elliptic character and the Witten genus
 G. Mislin  On the characteristic ring of flat bundles defined over a number field
 N. Ray  Loops on the \(3\)sphere and umbral calculus
 C. B. Thomas  Characteristic classes and \(2\)modular representations of some sporadic simple groups
 T. Tsuboi  On the connectivity of the classifying spaces for foliations
 J. A. Wood  Maximal abelian subgroups of Spinor groups and errorcorrecting codes
