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2012 | OriginalPaper | Chapter

6. Homology Groups and Ideal Class Groups I—Genus Theory

Author : Masanori Morishita

Published in: Knots and Primes

Publisher: Springer London

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Abstract

In this chapter we review Gauss’ genus theory from the link-theoretic point of view. We shall see that the notion of genera is defined by using the idea analogous to the linking number. We also present, vice versa, a topological analogue of genus theory.

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previous chapter Decompositions of Knots and Primes
next chapter Link Groups and Galois Groups with Restricted Ramification
Literature
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Reznikov, A.: Embedded incompressible surfaces and homology of ramified coverings of three-manifolds. Sel. Math. New Ser. 6, 1–39 (2000) MathSciNetCrossRefMATH
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Metadata
Title
Homology Groups and Ideal Class Groups I—Genus Theory
Author
Masanori Morishita
Copyright Year
2012
Publisher
Springer London
Book
Knots and Primes

Print ISBN: 978-1-4471-2157-2

Electronic ISBN: 978-1-4471-2158-9

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-1-4471-2158-9_6

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