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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.


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 ...


Minsky, Moriah and Schleimer [Minsky et al. ... distances of genus-two Heegaard splittings cover all nonnegative integers except one. Recently .... the vertical boundary ∂v J is the I-bundle related to ∂P, and the horizontal boundary. ∂h J is ...


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.


May 17, 2011 ... is isomorphic to the Heegaard Floer hat cohomology group of M. For .... also has an interpretation as a sutured ECH group by the work of Colin et al. ..... and Seiberg–Witten Floer cohomology I–V. Geom Topol 14:2497–3000.


Dec 13, 2006 ... This also is the first report of HPV type 45 in conjunctival papilloma. .... Sjo N C, Heegaard S, Prause J U. et al Human papillomavirus in ...


Journal List · Clin Microbiol Rev · v.15(3); 2002 Jul; PMC118081 ... Parvovirus B19 (B19) was discovered in 1974 and is the only member of the family Parvoviridae known to be pathogenic in ... In 1974, Cossart et al. first identified B19 while evaluating tests for hepatitis B virus surface antigen (74). ..... Heegaard et al. (131) ...


Let V ∪ S W be a Heegaard splitting of M, such that ∂ M = ∂_ W = F1 ∪ F2 and g( ... be the self-amalgamation of V ∪ S W. We show if d( S) ⩾ 3 then S* is not a.


Jul 6, 2017 ... A higher dose of 30 mg/kg, previously tested by Tokuhisa et al., 2014 for .... of the right tibia was shaved and disinfected with 70% v/v ethanol.