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

Abstract

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.

to appear in JKTR. 8pages 1 figure

References in corpus (2)

• Congruence and similarity of 3-manifolds
• Remarks on Congruence of 3-manifolds

Cited by in corpus (1)

• Integral TQFT for a one-holed torus