Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 / / Christine Lescop.
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 con...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
|---|---|
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1996 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
140 |
| Online Access: | |
| Physical Description: | 1 online resource (150 p.) |
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| LEADER | 05858nam a22013335i 4500 | ||
|---|---|---|---|
| 001 | 9781400865154 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20141996nju fo d z eng d | ||
| 019 | |a (OCoLC)979780764 | ||
| 020 | |a 9781400865154 | ||
| 024 | 7 | |a 10.1515/9781400865154 |2 doi | |
| 035 | |a (DE-B1597)447742 | ||
| 035 | |a (OCoLC)887802708 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 072 | 7 | |a MAT038000 |2 bisacsh | |
| 082 | 0 | 4 | |a 514 |2 23 |
| 100 | 1 | |a Lescop, Christine, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 / |c Christine Lescop. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2014] | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (150 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 140 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Table of contents -- |t Chapter 1. Introduction and statements of the results -- |t Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- |t Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- |t Chapter 4. The formula for surgeries starting from rational homology spheres -- |t Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- |t Chapter 6. Applications and variants of the surgery formula -- |t Appendix. More about the Alexander series -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 7 | |a MATHEMATICS / Topology. |2 bisacsh | |
| 653 | |a 3-manifold. | ||
| 653 | |a Addition. | ||
| 653 | |a Alexander polynomial. | ||
| 653 | |a Ambient isotopy. | ||
| 653 | |a Betti number. | ||
| 653 | |a Casson invariant. | ||
| 653 | |a Change of basis. | ||
| 653 | |a Change of variables. | ||
| 653 | |a Cobordism. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Combination. | ||
| 653 | |a Combinatorics. | ||
| 653 | |a Computation. | ||
| 653 | |a Conjugacy class. | ||
| 653 | |a Connected component (graph theory). | ||
| 653 | |a Connected space. | ||
| 653 | |a Connected sum. | ||
| 653 | |a Cup product. | ||
| 653 | |a Determinant. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Disk (mathematics). | ||
| 653 | |a Empty set. | ||
| 653 | |a Exterior (topology). | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Fibration. | ||
| 653 | |a Function (mathematics). | ||
| 653 | |a Fundamental group. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homology (mathematics). | ||
| 653 | |a Homology sphere. | ||
| 653 | |a Homotopy sphere. | ||
| 653 | |a Indeterminate (variable). | ||
| 653 | |a Integer. | ||
| 653 | |a Klein bottle. | ||
| 653 | |a Knot theory. | ||
| 653 | |a Manifold. | ||
| 653 | |a Morphism. | ||
| 653 | |a Notation. | ||
| 653 | |a Orientability. | ||
| 653 | |a Permutation. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Prime number. | ||
| 653 | |a Projective plane. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Seifert surface. | ||
| 653 | |a Sequence. | ||
| 653 | |a Summation. | ||
| 653 | |a Symmetrization. | ||
| 653 | |a Taylor series. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 653 | |a Tubular neighborhood. | ||
| 653 | |a Unlink. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691021324 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400865154 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400865154 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400865154/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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| 912 | |a EBA_CL_MTPY | ||
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