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Geometry and Topology: Aarhus
 
Edited by: Karsten Grove :  University of Maryland, College Park, MD
Ib Henning Madsen :  Aarhus University, Aarhus, Denmark
Erik Kjær Pedersen :  State University of New York at Binghamton, Binghamton, NY
Geometry and Topology: Aarhus
eBook ISBN:  978-0-8218-7848-4
Product Code:  CONM/258.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Geometry and Topology: Aarhus
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Geometry and Topology: Aarhus
Edited by: Karsten Grove :  University of Maryland, College Park, MD
Ib Henning Madsen :  Aarhus University, Aarhus, Denmark
Erik Kjær Pedersen :  State University of New York at Binghamton, Binghamton, NY
eBook ISBN:  978-0-8218-7848-4
Product Code:  CONM/258.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 258; 2000; 393 pp
    MSC: Primary 53; 55; 57

    This volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference—a meeting of international participants held in connection with ICM Berlin in 1998—and related papers on the subject.

    This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.
    Readership

    Graduate students and researchers in geometry and topology.
  • Table of Contents
     
     
    • Articles
    • A. Baker and C. Özel — Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups [ MR 1778093 ]
    • Bernhelm Booss-Bavnbek — Unique continuation property for Dirac operators, revisited [ MR 1778094 ]
    • Victor M. Buchstaber and Taras E. Panov — Torus actions determined by simple polytopes [ MR 1778095 ]
    • S. E. Cappell, R. Lee and E. Y. Miller — The Torelli group action on representation spaces [ MR 1778096 ]
    • Alan L. Carey and Bai-Ling Wang — Notes on Seiberg-Witten-Floer theory [ MR 1778097 ]
    • Ralph L. Cohen, John D. S. Jones and Graeme B. Segal — Stability for holomorphic spheres and Morse theory [ MR 1778098 ]
    • Tobias H. Colding and William P. Minicozzi, II — Embedded minimal surfaces without area bounds in 3-manifolds [ MR 1778099 ]
    • Bjørn Ian Dundas — The cyclotomic trace for symmetric monoidal categories [ MR 1778100 ]
    • J.-H. Eschenburg — Isoparametric submanifolds and symmetric spaces [ MR 1778101 ]
    • Ross Geoghegan, Andrew Nicas and Dirk Schütz — Obstructions to homotopy invariance in parametrized fixed point theory [ MR 1778102 ]
    • Maurice de Gosson — Lagrangian path intersections and the Leray index [ MR 1778103 ]
    • Brayton Gray — Associativity in two-cell complexes [ MR 1778104 ]
    • Luis Guijarro — Nonnegative curvature and normal holonomy in open manifolds [ MR 1778105 ]
    • Ian Hambleton and Erik K. Pedersen — Compactifying infinite group actions [ MR 1778106 ]
    • Michael Joachim and Thomas Schick — Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture [ MR 1778107 ]
    • F. E. A. Johnson — Stable modules and the structure of Poincaré 3-complexes [ MR 1778108 ]
    • Young-Hoon Kiem — The equivariant cohomology ring of the moduli space of vector bundles over a Riemann surface [ MR 1778109 ]
    • John R. Klein — Poincaré embeddings of spheres [ MR 1778110 ]
    • Kazuhiro Kuwae, Yoshiroh Machigashira and Takashi Shioya — Beginning of analysis on Alexandrov spaces [ MR 1778111 ]
    • Joachim Lohkamp — Negative curvature and symplectic submanifolds [ MR 1778112 ]
    • Wolfgang Lück and David Meintrup — On the universal space for group actions with compact isotropy [ MR 1778113 ]
    • Ib Madsen and Christian Schlichtkrull — The circle transfer and $K$-theory [ MR 1778114 ]
    • Masaharu Morimoto, Toshio Sumi and Mamoru Yanagihara — Finite groups possessing gap modules [ MR 1778115 ]
    • Krzysztof Pawałowski — Smith equivalence of group modules and the Laitinen conjecture. A survey [ MR 1778116 ]
    • Erik Kjær Pedersen — Controlled algebraic $K$-theory, a survey [ MR 1778117 ]
    • Laurence R. Taylor — Taut codimension one spheres of odd order [ MR 1778118 ]
    • Bruce Williams — Bivariant Riemann Roch theorems [ MR 1778119 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 258; 2000; 393 pp
MSC: Primary 53; 55; 57

This volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference—a meeting of international participants held in connection with ICM Berlin in 1998—and related papers on the subject.

This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.
Readership

Graduate students and researchers in geometry and topology.
  • Articles
  • A. Baker and C. Özel — Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups [ MR 1778093 ]
  • Bernhelm Booss-Bavnbek — Unique continuation property for Dirac operators, revisited [ MR 1778094 ]
  • Victor M. Buchstaber and Taras E. Panov — Torus actions determined by simple polytopes [ MR 1778095 ]
  • S. E. Cappell, R. Lee and E. Y. Miller — The Torelli group action on representation spaces [ MR 1778096 ]
  • Alan L. Carey and Bai-Ling Wang — Notes on Seiberg-Witten-Floer theory [ MR 1778097 ]
  • Ralph L. Cohen, John D. S. Jones and Graeme B. Segal — Stability for holomorphic spheres and Morse theory [ MR 1778098 ]
  • Tobias H. Colding and William P. Minicozzi, II — Embedded minimal surfaces without area bounds in 3-manifolds [ MR 1778099 ]
  • Bjørn Ian Dundas — The cyclotomic trace for symmetric monoidal categories [ MR 1778100 ]
  • J.-H. Eschenburg — Isoparametric submanifolds and symmetric spaces [ MR 1778101 ]
  • Ross Geoghegan, Andrew Nicas and Dirk Schütz — Obstructions to homotopy invariance in parametrized fixed point theory [ MR 1778102 ]
  • Maurice de Gosson — Lagrangian path intersections and the Leray index [ MR 1778103 ]
  • Brayton Gray — Associativity in two-cell complexes [ MR 1778104 ]
  • Luis Guijarro — Nonnegative curvature and normal holonomy in open manifolds [ MR 1778105 ]
  • Ian Hambleton and Erik K. Pedersen — Compactifying infinite group actions [ MR 1778106 ]
  • Michael Joachim and Thomas Schick — Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture [ MR 1778107 ]
  • F. E. A. Johnson — Stable modules and the structure of Poincaré 3-complexes [ MR 1778108 ]
  • Young-Hoon Kiem — The equivariant cohomology ring of the moduli space of vector bundles over a Riemann surface [ MR 1778109 ]
  • John R. Klein — Poincaré embeddings of spheres [ MR 1778110 ]
  • Kazuhiro Kuwae, Yoshiroh Machigashira and Takashi Shioya — Beginning of analysis on Alexandrov spaces [ MR 1778111 ]
  • Joachim Lohkamp — Negative curvature and symplectic submanifolds [ MR 1778112 ]
  • Wolfgang Lück and David Meintrup — On the universal space for group actions with compact isotropy [ MR 1778113 ]
  • Ib Madsen and Christian Schlichtkrull — The circle transfer and $K$-theory [ MR 1778114 ]
  • Masaharu Morimoto, Toshio Sumi and Mamoru Yanagihara — Finite groups possessing gap modules [ MR 1778115 ]
  • Krzysztof Pawałowski — Smith equivalence of group modules and the Laitinen conjecture. A survey [ MR 1778116 ]
  • Erik Kjær Pedersen — Controlled algebraic $K$-theory, a survey [ MR 1778117 ]
  • Laurence R. Taylor — Taut codimension one spheres of odd order [ MR 1778118 ]
  • Bruce Williams — Bivariant Riemann Roch theorems [ MR 1778119 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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