| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660025 | Topology and its Applications | 2010 | 9 Pages |
Abstract
Let M be a compact orientable 3-manifold, and let F be a separating (resp. non-separating) incompressible surface in M which cuts M into two 3-manifolds M1 and M2 (resp. a manifold M1). Then M is called the surface sum (resp. self surface sum) of M1 and M2 (resp. M1) along F, denoted by M=M1∪FM2 (resp. M=M1∪F). In this paper, we will study how g(M) is related to χ(F), g(M1) and g(M2) when both M1 and M2 have high distance Heegaard splittings.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
