Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 8, Number 2 (2008), 787-801.
Borromean surgery formula for the Casson invariant
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.
Algebr. Geom. Topol., Volume 8, Number 2 (2008), 787-801.
Received: 5 February 2008
Revised: 3 March 2008
Accepted: 5 March 2008
First available in Project Euclid: 20 December 2017
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Meilhan, Jean-Baptiste. Borromean surgery formula for the Casson invariant. Algebr. Geom. Topol. 8 (2008), no. 2, 787--801. doi:10.2140/agt.2008.8.787. https://projecteuclid.org/euclid.agt/1513796844