Remarks on Congruence of 3-manifolds

Abstract

We give two proofs that the 3-torus is not weakly d-congruent to the connected sum of three S^1xS^2's, if d>2. We study how cohomology ring structure relates to weak congruence. We give an example of three 3--manifolds which are weakly 5-congruent but are not 5-congruent.

4 pages, to appear in JKTR

References in corpus (3)

• Congruence and similarity of 3-manifolds
• Rational moves and tangle embeddings: (2,2)-moves as a case study
• t_k-moves on links

Cited by in corpus (1)

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