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2003 On 4–fold covering moves
Nikos Apostolakis
Algebr. Geom. Topol. 3(1): 117-145 (2003). DOI: 10.2140/agt.2003.3.117

Abstract

We prove the existence of a finite set of moves sufficient to relate any two representations of the same 3–manifold as a 4–fold simple branched covering of S3. We also prove a stabilization result: after adding a fifth trivial sheet two local moves suffice. These results are analogous to results of Piergallini in degree 3 and can be viewed as a second step in a program to establish similar results for arbitrary degree coverings of S3.

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Nikos Apostolakis. "On 4–fold covering moves." Algebr. Geom. Topol. 3 (1) 117 - 145, 2003. https://doi.org/10.2140/agt.2003.3.117

Information

Received: 16 November 2002; Accepted: 7 February 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1014.57001
MathSciNet: MR1997316
Digital Object Identifier: 10.2140/agt.2003.3.117

Subjects:
Primary: 57M12
Secondary: 57M25

Rights: Copyright © 2003 Mathematical Sciences Publishers

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