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Topology, Geometry, and Algebra: Interactions and new directions
Edited by: Alejandro Adem, University of Wisconsin, Madison, WI, and Gunnar Carlsson and Ralph Cohen, Stanford University, CA

Contemporary Mathematics
2001; 255 pp; softcover
Volume: 279
ISBN-10: 0-8218-2063-X
ISBN-13: 978-0-8218-2063-6
List Price: US$78
Member Price: US$62.40
Order Code: CONM/279
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This volume presents the proceedings from the conference on "Topology, Geometry, and Algebra: Interactions and New Directions" held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications.

Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgery theory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.


Graduate students and research mathematicians interested in algebraic topology and manifolds and cell complexes.

Table of Contents

  • G. Carlsson -- On Jim Milgram's mathematical work
  • M. Ando and J. Morava -- A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space
  • M. Bendersky and D. M. Davis -- The 1-line of the \(K\)-theory Bousfield-Kan spectral sequence for \(Spin(2n+1)\)
  • W. Browder -- Homologically exotic free actions on products of \(S^m\)
  • S. E. Cappell, R. Lee, and E. Y. Miller -- Surgery formulae for analytical invariants of manifolds
  • F. R. Cohen -- On genus one mapping class groups, function spaces, and modular forms
  • B. Hanke -- Poincaré duality and deformations of algebras
  • S. Kallel -- An analog of the May-Milgram model for configurations with multiplicities
  • S. Kallel -- Configuration spaces and the topology of curves in projective space
  • M. Karoubi -- Quantum methods in algebraic topology
  • K. Liu and W. Zhang -- Adiabatic limits and foliations
  • K. Mohnke -- Legendrian links of topological unknots
  • A. Ranicki -- Algebraic Poincaré cobordism
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