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Mayberry-Murasugi's formula for links in homology 3-spheres
Author(s):
Joan
Porti
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3423-3431.
MSC (2000):
Primary 57M12, 57Q10;
Secondary 57M25, 20K01
Posted:
May 20, 2004
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Abstract:
We prove the Mayberry-Murasugi formula for links in homology 3-spheres, which was proved before only for links in the 3-sphere. Our proof uses Franz-Reidemeister torsions.
References:
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- J. Hillman and M. Sakuma. On the homology of finite abelian coverings of links. Canad. Math. Bull. 40 (1997), no. 3, 309-315. MR 98i:57010
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- J. P. Mayberry and K. Murasugi. Torsion-groups of abelian coverings of links. Trans. Amer. Math. Soc. 271 (1982), no. 1, 143-173. MR 84d:57004
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Additional Information:
Joan
Porti
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Email:
porti@mat.uab.es
DOI:
10.1090/S0002-9939-04-07458-1
PII:
S 0002-9939(04)07458-1
Keywords:
Branched coverings,
Franz-Reidemeister torsion
Received by editor(s):
June 14, 2003
Received by editor(s) in revised form:
July 1, 2003
Posted:
May 20, 2004
Additional Notes:
This work was partially supported by DGICYT through grant BFM2000-0007
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2004,
American Mathematical Society
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