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Global Surgery Formula for the Casson-Walker Invariant
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Global Surgery Formula for the Casson-Walker Invariant Paperback - 1996

by Christine Lescop

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From the publisher

This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S
3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S
3 is described, and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds. For integral homology spheres, l is the invariant introduced by Casson in 1985, which allowed him to solve old and famous questions in 3-dimensional topology. l becomes simpler as the first Betti number increases.

As an explicit function of Alexander polynomials and surgery coefficients of framed links, the function F extends in a natural way to framed links in rational homology spheres. It is proven that F describes the variation of l under any surgery starting from a rational homology sphere. Thus F yields a global surgery formula for the Casson invariant.

Details

  • Title Global Surgery Formula for the Casson-Walker Invariant
  • Author Christine Lescop
  • Binding Paperback
  • Edition First Thus
  • Pages 150
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press, Princeton, NJ, U.S.A.
  • Publication date 1996-01-11
  • Features Bibliography
  • ISBN 9780691021324 / 0691021325
  • Weight 0.5 lbs (0.23 kg)
  • Dimensions 9.21 x 6.14 x 0.33 in (23.39 x 15.60 x 0.84 cm)
  • Category Science
  • Library of Congress subjects Three-manifolds (Topology), Surgery (Topology)
  • Library of Congress Catalogue Number 95045797
  • Dewey Decimal Code 514.72

About the author

Christine Lescop is Researcher in Mathematics at the Centre National de la Recherche Scientifique at the Institut Fourier in Grenoble, France.
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Annals of Mathematics Studies: Global Surgery Formula for the Casson-Walker Invariant (Volume 140)
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Annals of Mathematics Studies: Global Surgery Formula for the Casson-Walker Invariant (Volume 140)

by Lescop, Christine

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Princeton University Press, 1996. Volume 140. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9780691021324
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)

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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)

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Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140

Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140

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Paperback / softback. New. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S3. This work describes a function F of framed links in S3 and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds.
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)...
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140) [Paperback] Lescop, Christine

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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)...
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140) [Paperback] Lescop, Christine

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Global Surgery Formula For the Casson-Walker Invariant
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Global Surgery Formula For the Casson-Walker Invariant

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Global Surgery Formula For the Casson-Walker Invariant
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Global Surgery Formula For the Casson-Walker Invariant

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Global Surgery Formula for the Casson–Walker Invariant. (AM–140), Volume 140
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Global Surgery Formula for the Casson–Walker Invariant. (AM–140), Volume 140

by Lescop, Christine/ Caffarelli, Luis A. (Editor)/ Mather, John (Editor)

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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)
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Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)

by Lescop, Christine

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