Geometric topology : 1993 Georgia International Topology Conference, August 2-13, 1993, University of Georgia, Athens, Georgia
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書誌事項
Geometric topology : 1993 Georgia International Topology Conference, August 2-13, 1993, University of Georgia, Athens, Georgia
（AMS/IP studies in advanced mathematics, v. 2）
American Mathematical Society , International Press, c1997
- : set
- pt. 1
- pt. 2
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
-
: set ISBN 9780821806524
内容説明
This is a two-part volume reflecting the proceedings of the 1993 Georgia International Topology Conference held at the University of Georgia during the month of August. The texts include research and expository articles and problem sets. The conference covered a wide variety of topics in geometric topology. Kirby's problem list, which contains a thorough description of the progress made on each of the problems and includes a very complete bibliography, makes the work useful for specialists and non-specialists who want to learn about the progress made in many areas of topology. This list may serve as a reference work for decades to come. Gabai's problem list, which focuses on foliations and laminations of 3-manifolds, collects for the first time in one paper definitions, results, and problems that may serve as a defining source in the subject area.
目次
Part 1: Polyhedral minimal surfaces, Heegaard splittings and decision problems for 3-dimensional manifolds by J. H. Rubinstein Surgery numbers of 3-manifolds: a hyperbolic example by D. Auckly Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots by M. Eudave-Munoz Cyclic surgery and boundary slopes by S. Boyer and X. Zhang Relative Euler number and finite covers of graph manifolds by J. Luecke and Y.-Q. Wu Geometric invariants for 3-manifolds by M. Ouyang Link homotopy in simply connected 3-manifolds by N. Habegger Homotopy, isotopy, and genuine laminations of 3-manifolds by D. Gabai and W. H. Kazez Non-associative tangles by D. Bar-Natan Power series expansions and invariants of links by X.-S. Lin Introduction to spin TQFT by G. Masbaum Refined state-sum invariants of 3- and 4-manifolds by J. Roberts A family of Mobius invariant 2-knot energies by D. Auckly and L. Sadun Invariants of fibred knots from moduli by H. U. Boden Symplectic forms on moduli spaces of flat connections on 2-manifolds by L. C. Jeffrey Automorphisms of the $E_8$ four-manifold by A. L. Edmonds On the star-construction for topological 4-manifolds by P. Teichner The problem of Lagrangian knots in four-manifolds by Y. Eliashberg and L. Polterovich Energy and capacities in symplectic topology by F. Lalonde Piecewise linear manifolds and Cerf theory by W. R. Lickorish Local homotopy properties of topological embeddings in codimension two by G. A. Venema $SL(n,\mathbb Z)$ cannot act on small tori by S. Weinberger Morse homotopy and its quantization by K. Fukaya CAT(0) reflection manifolds by F. D. Ancel, M. W. Davis, and C. R. Guilbault On oriented bundle theories and applications by D. Randall On minimal coverings in the sense of Lusternik-Schnirelmann for spaces and manifolds by J.-C. Hausmann The centers of fibered two-knot groups by K. Yoshikawa Equivariant periodicity in surgery for actions of some non-abelian groups by M. Yan Microsurgery on stratified spaces by S. Weinberger Large scale homology theories and geometry by J. Block and S. Weinberger Mobius energies for knots and links, surfaces and submanifolds by R. B. Kusner and J. M. Sullivan Part 2: Problems in foliations and laminations by D. Gabai Problems in low-dimensional topology by R. Kirby.
- 巻冊次
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pt. 2 ISBN 9780821806531
内容説明
This is Part 2 of a two-part volume reflecting the proceedings of the 1993 Georgia International Topology Conference held at the University of Georgia during the month of August. The texts include research and expository articles and problem sets. The conference covered a wide variety of topics in geometric topology. Kirby's problem list, which contains a thorough description of the progress made on each of the problems and includes a very complete bibliography, makes the work useful for specialists and non-specialists who want to learn about the progress made in many areas of topology. This list may serve as a reference work for decades to come. Gabai's problem list, which focuses on foliations and laminations of 3-manifolds, collects for the first time in one paper definitions, results, and problems that may serve as a defining source in the subject area.
目次
Problems in foliations and laminations by D. Gabai Problems in low-dimensional topology (Introduction) by R. C. Kirby Knot theory (Chapter 1) by R. C. Kirby Surfaces (Chapter 2) by R. C. Kirby 3-manifolds (Chapter 3) by R. C. Kirby 4-manifolds (Chapter 4) by R. C. Kirby Miscellany (Chapter 5) by R. C. Kirby Index of conjectures by R. C. Kirby Index by R. C. Kirby Old problem lists by R. C. Kirby Bibliography by R. C. Kirby.
- 巻冊次
-
pt. 1 ISBN 9780821806548
内容説明
This is Part 1 of a two-part volume reflecting the proceedings of the 1993 Georgia International Topology Conference held at the University of Georgia during the month of August. The texts include research and expository articles and problem sets. The conference covered a wide variety of topics in geometric topology. Kirby's problem list, which contains a thorough description of the progress made on each of the problems and includes a very complete bibliography, makes the work useful for specialists and non-specialists who want to learn about the progress made in many areas of topology. This list may serve as a reference work for decades to come. Gabai's problem list, which focuses on foliations and laminations of 3-manifolds, collects for the first time in one paper definitions, results, and problems that may serve as a defining source in the subject area.
目次
Polyhedral minimal surfaces, Heegaard splittings, and decision problems for 3-dimensional manifolds by J. H. Rubinstein Surgery numbers of 3-manifolds: A hyperbolic example by D. R. Auckly Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots by M. Eudave-Munoz Cyclic surgery and boundary slopes by S. P. Boyer and X. Zhang Relative Euler number and finite covers of graph manifolds by J. E. Luecke and Y.-Q. Wu Geometric invariants for 3-manifolds by M. Ouyang Link homotopy in simply connected 3-manifolds by N. Habegger Homotopy, isotopy, and genuine laminations of 3-manifolds by D. Gabai and W. H. Kazez Non-associative tangles by D. Bar-Natan Power series expansions and invariants of links by X.-S. Lin Introduction to spin TQFT by G. Masbaum Refined state-sum invariants of 3- and 4-manifolds by J. D. Roberts A family of Mobius invariant 2-knot energies by D. R. Auckly and L. A. Sadun Invariants of fibred knots from moduli by H. U. Boden Symplectic forms on moduli spaces of flat connectionso n 2-manifolds by L. C. Jeffrey Automorphisms of the $E_8$ four-manifold by A. L. Edmonds On the star-construction for topological 4-manifolds by P. Teichner The problem of Lagrangian knots in four-manifolds by Y. Eliashberg and L. Polterovich Energy and capacities in symplectic topology by F. Lalonde Piecewise linear manifolds and Cerf theory by W. B. R. Lickorish Local homotopy properties of topological embeddings in codimension two by G. A. Venema $SL(n,{\bfZ})$ cannot act on small tori by S. A. Weinberger Morse homotopy and its quantization by K. Fukaya CAT(0) reflection manifolds by F. D. Ancel, M. W. Davis, and C. R. Guilbault On oriented bundle theories and applications by A. D. Randall On minimal coverings in the sense of Lusternik-Schnirelmann for spaces and manifolds by J.-C. Hausmann The centers of fibered two-knot groups by K. Yoshikawa Equivariant periodicity in surgery for actions of some nonabelian groups by M. Yan Microsurgery on stratified spaces by S. A. Weinberger Large scale homology theories and geometry by J. L. Block and S. A. Weinberger Mobius energies for knots and links, surfaces, and submanifolds by R. B. Kusner and J. M. Sullivan.
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