An Extension of Casson's Invariant. (AM-126), Volume 126 (häftad)
Fler böcker inom
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
150
Utgivningsdatum
1992-03-01
Förlag
Princeton University Press
Originalspråk
English
Illustrationer
black & white illustrations
Dimensioner
235 x 157 x 10 mm
Vikt
218 g
Antal komponenter
1
Komponenter
49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam
ISBN
9780691025322

An Extension of Casson's Invariant. (AM-126), Volume 126

av Kevin Walker
Häftad,  Engelska, 1992-03-01
689
Köp
Spara som favorit
  • Skickas från oss inom 5-8 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
Finns även som
Visa alla 1 format & utgåvor
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. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M.
Visa hela texten

Passar bra ihop

  1. An Extension of Casson's Invariant. (AM-126), Volume 126
  2. +
  3. Co-Intelligence

De som köpt den här boken har ofta också köpt Co-Intelligence av Ethan Mollick (häftad).

Köp båda 2 för 917 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av Kevin Walker

Visa alla böcker av Kevin Walker »

Recensioner i media

"[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 American Mathematical Society

Innehållsförteckning

*Frontmatter, pg. i*Contents, pg. v*0. Introduction, pg. 1*1. Topology of Representation Spaces, pg. 6*2. Definition of lambda, pg. 27*3. Various Properties of lambda, pg. 41*4. The Dehn Surgery Formula, pg. 81*5. Combinatorial Definition of lambda, pg. 95*6. Consequences of the Dehn Surgery Formula, pg. 108*A. Dedekind Sums, pg. 113*B. Alexander Polynomials, pg. 122*Bibliography, pg. 129

Du kanske gillar