Last edited by Tygolmaran
Tuesday, August 4, 2020 | History

9 edition of An extension of Casson"s invariant found in the catalog.

An extension of Casson"s invariant

by Walker, Kevin

  • 171 Want to read
  • 0 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Three-manifolds (Topology),
  • Invariants.

  • Edition Notes

    Includes bibliographical references (p. 129-131).

    Other titlesCasson"s invariant.
    Statementby Kevin Walker.
    SeriesAnnals of mathematics studies ;, no. 126
    Classifications
    LC ClassificationsQA613 .W34 1992
    The Physical Object
    Paginationv, 131 p. :
    Number of Pages131
    ID Numbers
    Open LibraryOL1560942M
    ISBN 100691087660, 0691025320
    LC Control Number91042226

    Books 1. An Extension of Casson's Invariant. (AM), Volume Kevin Walker. This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. extension of the Casson-Walker invariant, we should recall some facts and for-mulas from [L]. In the general case the surgery formula for Lescop’s invariant is rather complicated. For our purposes, we will only use the following formula for surgery in S3. (This entire subsection is .

    Caddy's World (Casson Family, #0), Saffy's Angel (Casson Family, #1), Indigo's Star (Casson Family, #2), Permanent Rose (Casson Family, #3), Caddy Ever. Buy kevin walker Books at Shop amongst our popular books, including 8, The Compendium of Fantasy Art Techniques, An Extension of Casson's Invariant. (AM), Volume and more from kevin walker. Free shipping and pickup in store on eligible orders.

    The main topics covered in the book are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its numerous extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, followed by Floer homology and gauge-theoretical invariants of homology. On the Casson-Walker invariant and a quantum representation of the mapping class group through the LMO invariant for genus one open books Shunsuke Tsuji (Graduate School of Mathematical Sciences, The University of Tokyo) The first invariant is an extension of the Casson invariant to Z\pi-homology equivalences to the 3-torus. Top.


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An extension of Casson"s invariant by Walker, Kevin Download PDF EPUB FB2

This book is an overview of work done by the author in extending the Casson invariant of integer homology 3-spheres to the rational homology case. The proofs given are very detailed and they bring out how difficult it is to show isotopy invariance via an example of a Heegard splitting of genus 2.

The author does a good job of detailing the Cited by: In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker () found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop () extended the invariant to all closed oriented 3-manifolds.

An Extension of Casson's Invariant. (AM), Volume - Ebook written by Kevin Walker. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Extension of Casson's Invariant.

(AM), Volume This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of An extension of Cassons invariant book classes of representations of p(X) into SU (2).

Let (W,W,F) be a. Buy An Extension of Casson's Invariant. (AM), Volume by Kevin Walker for $ at Mighty Ape Australia. This monograph describes an invariant, lambda, of oriented rational homology 3-spheres, which is a generalization of Andrew Casson's work in the integ.

Book. An Extension of Casson's Invariant. (AM), Volume Details Author(s): Kevin Walker Publisher: Princeton University Press eISBN: 4.

The Dehn Surgery Formula was published in An Extension of Casson's Invariant. (AM), Volume on page wikipedia Casson invariant. Kevin Walker, An extension of Casson invariant to rational homology spheres, Bull.

AMS, 22, 2 () –; A generalization of Casson invariant, Annals of Math. StudiesPrinceton Univ. Press ; and the book review by W. Goldman: ps, dvi. [BL] S. Boyer and D. Lines, Surgery formulae for Casson's invariant and extensions to homology lens spaces, preprint.

Zentralblatt MATH: [BN] S Boyer and A. Nicas, Varieties of group representations and Casson's invariant for rational homology 3-spheres, preprint.

In this paper, we give two formulae of values of the Casson–Walker invariant of 3-manifolds with genus one open book decompositions; one is a formula written in terms of a framed link of a surgery presentation of such a 3-manifold, and the other is a formula written in terms of a representation of the mapping class group of a 1-holed torus.

"[This is] a monograph describing Walker's extension of Casson's invariant to Q HS This is a fascinating subject and Walker's book is informative and well written it makes a rather pleasant introduction to a very active area in geometric topology."--Bulletin of.

The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments.

DB Book Online pdf. DB Book Online pdf. Search this site. Home. Combinatorial Problems. Ashrae Handbook HVAC Systems and Equipment SI Edition An Extension of Casson's Invariant.

(AM) An Introduction to Sobolev Spaces and Interpolation Spaces (Lecture Notes of the Unione Matematica Italiana). Book Description: This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case.

Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. An Extension of Casson's Invariant. (AM), Volume Find all books from Kevin Walker.

At you can find used, antique and new books, compare results and immediately purchase your selection at the best price. This book describes an invariant, l, of oriented rational Brand: PRINCETON UNIV PR.

This book is an overview of work done by the author in extending the Casson invariant of integer homology 3-spheres to the rational homology case. The proofs given are very detailed and they bring out how difficult it is to show isotopy invariance via an example of a Heegard splitting of genus /5.

The Casson invariant, a three manifold invariant, has been with us since Originally it was defined, by Casson, for ZHS's (integral homology spheres) [?]. In this situation, Taubes showed that the Casson invariant can be viewed as the Euler characteristic of the Floer homology of flat SU(2) connections on the integral homology sphere [?].

Get this from a library. An Extension of Casson's Invariant. (AM). [Kevin Walker] -- This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of.

One of the extensions we discuss is the SU(3) Casson invariant of H. Boden and C. Herald. Another one is the Casson-type invariant for knots in integral homology spheres introduced by X.-S. Lin and C. Herald, and finally, the equivariant Casson invariant of integral homology spheres with a finite cyclic group action by O.

Collin and the author. "[This is] a monograph describing Walker's extension of Casson's invariant to Q HS This is a fascinating subject and Walker's book is informative and well written it makes a rather pleasant introduction to a very active area in geometric topology.".

Rohlin's invariant and gauge theory II. Mapping tori Ruberman, Daniel and Saveliev, Nikolai, Geometry & Topology, ; Gauge theoretic invariants of Dehn surgeries on knots Boden, Hans U, Herald, Christopher M, Kirk, Paul A, and Klassen, Eric P, Geometry & Topology, ; Growth of Casson handles and transversality for ASD moduli spaces Kato, Tsuyoshi, Geometry & Topology, K.

Walker, An extension of Casson's invariant. Annals of Mathematics Studies, Princeton University Press, Princeton, NJ, ISBN ISBN   Topology Vol. 3. 4o. ~ DP. 4 19+ Pnnted m Great Bntatn CASSON INVARIANT FOR 2-FOLD BRANCHED COVERS OF S' AND THE JONES POLYNOMIAL DAVID MULLINS (Receired 26 June ) 1.