On 4-fold covering moves

Nikos Apostolakis

doi:10.2140/agt.2003.3.117

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On 4-fold covering moves

Nikos Apostolakis

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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 S^3. 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 S^3.

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Nikos Apostolakis. 2003-02-19. On 4-fold covering moves. https://doi.org/10.2140/agt.2003.3.117

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