This article is available for purchase or by subscription. See below.
Abstract
|
|
It is known that every oriented integral homology
–sphere can be
obtained from
by a finite sequence of Borromean surgeries. We give an explicit formula
for the variation of the Casson invariant under such a surgery move. The
formula involves simple classical invariants, namely the framing, linking
number and Milnor’s triple linking number. A more general statement, for
independent Borromean surgeries, is also provided.
|
PDF Access Denied
Warning:
We have not been able to recognize your IP address 47.88.87.18
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
Casson invariant, Borromean surgery, finite type invariants
|
Mathematical Subject Classification 2000
Primary: 57N10, 57M27
|
Publication
Received: 5 February 2008
Revised: 3 March 2008
Accepted: 5 March 2008
Published: 25 May 2008
|
|
