On the Homology of Finite Abelian Coverings of Links
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 309-315
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Let A be a finite abelian group and M be a branched cover of an homology 3-sphere, branched over a link L, with covering group A. We show that H1(M; Z[1/|A|]) is determined as a Z[1/|A|][A]-module by the Alexander ideals of L and certain ideal class invariants.
Mots-clés :
57M25, Alexander ideal, branched covering, Dedekind domain, knot, link
Hillman, J. A.; Sakuma, M. On the Homology of Finite Abelian Coverings of Links. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 309-315. doi: 10.4153/CMB-1997-037-9
@article{10_4153_CMB_1997_037_9,
author = {Hillman, J. A. and Sakuma, M.},
title = {On the {Homology} of {Finite} {Abelian} {Coverings} of {Links}},
journal = {Canadian mathematical bulletin},
pages = {309--315},
year = {1997},
volume = {40},
number = {3},
doi = {10.4153/CMB-1997-037-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-037-9/}
}
TY - JOUR AU - Hillman, J. A. AU - Sakuma, M. TI - On the Homology of Finite Abelian Coverings of Links JO - Canadian mathematical bulletin PY - 1997 SP - 309 EP - 315 VL - 40 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-037-9/ DO - 10.4153/CMB-1997-037-9 ID - 10_4153_CMB_1997_037_9 ER -
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