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REMARKS ON CONGRUENCE OF 3-MANIFOLDS

PATRICK M. GILMER

Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

https://doi.org/10.1142/S021821650700583XCited by:1 (Source: Crossref)

Abstract

We give two proofs that the 3-torus is not weakly d-congruent to #³S¹ × S², 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.

Dedicated to Lou Kauffman on the occasion of his 60th birthday

Keywords:

AMSC: 57M27

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