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

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Om denne bog

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.

Product detaljer
Sprog:
Engelsk
Sider:
150
ISBN-13:
9780691021324
Indbinding:
Paperback
Udgave:
ISBN-10:
0691021325
Udg. Dato:
11 jan 1996
Længde:
0mm
Bredde:
197mm
Højde:
254mm
Forlag:
Princeton University Press
Oplagsdato:
11 jan 1996
Forfatter(e):
Kategori sammenhænge