and therefore w e al w ays assume that a Heegaard splitting has genus at least. 2 . ... t h e s e c ti o nal cu r v at u re of v is pin ch ed b et w een -1 - e and -1 +e.
accords with other work. Most significantly, Minsky et al. ... 2.2. Heegaard splittings. Recall that a compression-body is a three-manifold V obtained as follows: ... A Heegaard splitting H ⊂ M is strongly irreducible if all pairs of essential disks D ...
For example, Y. Minsky et.al. have used the curve complex .... A Heegaard splitting H ⊂ M is strongly irreducible if all pairs of essential disks D ... verse to H. Then there is a disk D′ properly embedded in V or W with. ∂D′ = ∂D. We take the ...
manifolds the stabilization problem is trivial since the Heegaard splitting is unique (see. [lOI). ... to 111. Let V be a closed regular neighborhood of the regular fiber which projects to ze ... iJ) regarded as a Heegaard splitting of M - q( et U. U ek). ... The Main Theorem in [ 1 l] states that all Heegaard splittings of orientable Seifert.
Let M be a compact orientable 3-manifold, M = V ∪S W be a Heegaard ... bounds disks in both V and W ; otherwise, it is said to be irreducible. ... Y. Zou et al.
borhood of the singular fiber fj, 1 <j <m, and V is a regularly fibered solid torus. ..... Not all Seifert fibered spaces have horizontal Heegaard splittings. ..... Boileau, M. and Otal, J. P., Scindements de Heegaard et groupe des homeotopies des ...
Apr 12, 2016 ... Our website is made possible by displaying certain online content using ... Suppose M i = V i ⋃ S i W i ( i = 1 , 2 ) is a Heegaard splitting of M i , M = V ⋃ S W is the dual Heegaard ... In this paper, we give a condition of unstabilized dual Heegaard .... Burcu Ungor et al., Journal of Algebra and Its Applications.
Jan 27, 2014 ... Minnesota (for respondents Eric Heegaard, M.D. and OBGYN West, Inc.) ... A laparoscopy is a surgical procedure in which a thin tube is inserted into the .... Stroud v. Hennepin Cnty. Med. Ctr., 556. N.W.2d 552, 555 (Minn.