Total linking number modules
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- by Oziride Manzoli Neto PDF
- Trans. Amer. Math. Soc. 307 (1988), 503-533 Request permission
Abstract:
Given a codimension two link $L$ in a sphere ${S^k}$ with complement $X = {S^k} - L$, the total linking number covering of $L$ is the covering $\hat X \to X$ associated to the surjection ${\pi _1}(X) \to Z$ defined by sending the meridians to $1$. The homology ${H_{\ast }}(\hat X)$ define weaker invariants than the homology of the universal abelian covering of $L$. The groups ${H_i}(\hat X)$ are modules over $Z\left [ {t, {t^{ - 1}}} \right ]$ and this work gives an algebraic characterization of these modules for $k \geqslant 4$ except for the pseudo null part of ${H_1}(\hat X)$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 307 (1988), 503-533
- MSC: Primary 57Q45
- DOI: https://doi.org/10.1090/S0002-9947-1988-0940215-6
- MathSciNet review: 940215