Heegaard genus, cut number, weak p-congruence, and quantum invariants

Mathematics – Geometric Topology

Scientific paper

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to appear in JKTR. 8pages 1 figure

Scientific paper

We use quantum invariants to define a 3-manifold invariant j_p which lies in
the non-negative integers. We relate j_p to the Heegard genus, and the cut
number. We show that j_$ is an invariant of weak p-congruence.

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