Heegaard genus of the connected sum of m-small knots
| dc.creator | Kobayashi, Tsuyoshi | |
| dc.creator | Rieck, Yo'av | |
| dc.date | 2005-03-12 | |
| dc.date | 2006-07-03 | |
| dc.date.accessioned | 2026-07-07T06:39:33Z | |
| dc.date.available | 2026-07-07T06:39:33Z | |
| dc.description | We prove that if $K_1 \subset M_1,...,K_n \subset M_n$ are m-small knots in closed orientable 3-manifolds then the Heegaard genus of $E(#_{i=1}^n K_i)$ is strictly less than the sum of the Heegaard genera of the $E(K_i)$ ($i=1,...,n$) if and only if there exists a proper subset $I$ of $\{1,...,n\}$ so that $#_{i \in I} K_i$ admits a primitive meridian. This generalizes the main result of Morimoto in \cite{morimoto1}. | |
| dc.description | 34 pages. Final version, to appear in Communications in Analysis and Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0503229 | |
| dc.identifier | http://arxiv.org/abs/math/0503229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101121 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99; 57M25 | |
| dc.title | Heegaard genus of the connected sum of m-small knots | |
| dc.type | text |