Title of article :
Variation of the Alexander–Conway polynomial under Dehn surgery
Author/Authors :
Tsutsumi، نويسنده , , Yukihiro and Yamada، نويسنده , , Harumi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Pages :
9
From page :
893
To page :
901
Abstract :
Let ε1 and ε2 belong to {±1}. When the ε1-surgery along a knot K1 in S3 produces the same homology sphere as the ε2-surgery along a knot K2 in S3, then the Casson surgery formula implies that ε1ΔK1″(1)=ε2ΔK2″(1), where Δ(t) denotes the symmetric Alexander polynomial. For any pair (Λ1(t),Λ2(t)) of possible knot Alexander polynomials such that ε1Λ1″(1)=ε2Λ2″(1), we exhibit a pair (K1,K2) of knots in S3 such that ΔK1(t)=Λ1(t), ΔK2(t)=Λ2(t) and the ε1-surgery along K1 produces the same homology sphere as the ε2-surgery along K2.
Keywords :
Alexander polynomial , Conway polynomial , Dehn surgery , Casson invariant
Journal title :
Topology
Serial Year :
2004
Journal title :
Topology
Record number :
1545453
Link To Document :
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