Remarks on Congruence of 3-manifolds

Details Remarks on Congruence of 3-manifolds Remarks on Congruence of 3-manifolds

2007-11-16

arxiv.org/abs/0711.2673v1

Mathematics

Geometric Topology

4 pages, to appear in JKTR

Scientific paper

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.

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