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A lower bound of genus of amalgamations of Heegaard splittings.
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . May2009, Vol. 146 Issue 3, p8-8. 1p. - Publication Year :
- 2009
-
Abstract
- In the paper, we give a lower bound on the genus of an amalgamation of two Heegaard splittings V1, ⋃S1, W1 for M1 and V2, ⋃S2, W2 for M2 along boundary components F1 and F2 under some conditions on the distances of the factor Heegaard splittings. A direct consequence is that under some circumstances, g(M) = g(M1) + g(M2) - g(F) holds, and another is that under some circumstances we have a better lower bound. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AMALGAMATION
*DISTANCES
*FACTOR analysis
*JOINTS (Engineering)
*BOUND states
Subjects
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 146
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 37581530
- Full Text :
- https://doi.org/10.1017/S030500410800203X