arxiv.org/pdf/math/0212104

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 ...

www.math.stonybrook.edu/alumni/2005-Hossein-Namazi.pdf

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.

homepages.warwick.ac.uk/~masgar/Maths/2005fibre.pdf

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 ...

www.pnas.org/content/108/20/8081

May 17, 2011 ... In the first of nine papers in this Special Feature, Lipshitz et al. ... The Heegaard splitting is then constructed with Heegaard surface equal to the .... The Arf invariant for knots explained above is the case V1 = Z2, and modulo is ...

www.ncbi.nlm.nih.gov/pubmed/11068073

Heegaard PM(1), Godson DL, Toussaint MJ, Tjørnehøj K, Larsen LE, Viuff B, ... of Biochemistry and Immunology, 27, Bülowsvej, DK-1790, Copenhagen V, ... of a pure virus infection to induce an acute phase protein response is of interest as ...

www.sciencedirect.com/science/article/pii/S0001870804001690/pdf?md5=b6e0aa016209fdf83581a3ef67884750&pid=1-s2.0-S0001870804001690-main.pdf&_valck=1

the Heegaard Floer homology in general is a very interesting, if difficult problem, ..... see that all maximal characteristic vectors have the property that |〈K,v〉|⩽|Q(v ⊗ v)|, ...... [1] C.C. Adams, J.F. Brock, J. Bugbee, et al., Almost alternating links, ...

www.frontiersin.org/articles/10.3389/fgene.2013.00116

One method of disease management is the development of biomarkers, which ..... Heegaard et al., in addition to identifying circulating miRNAs for diagnostic ...

www.nature.com/articles/bjc2014652

Jan 13, 2015 ... Chemotherapy combined with bevacizumab is a common choice for patients with .... Data processing took place using the Applied Biosystems' ViiA7 real-time PCR analysis software (v.1.2.2). .... In another setting, Willett et al (2009) demonstrated that patients with rectal ..... A L Carlsen; & N H H Heegaard ...

jmre.dlut.edu.cn/en/ch/reader/create_pdf.aspx?file_no=20130410&year_id=2013&quarter_id=4&falg=1

all the Heegaard splittings of M, then g(S) is called the genus of M, denoted by g( M). More ... S W is a Heegaard splitting such that ∂0M = ∂−V or ∂0M = ∂−W, then. M = V ..... 593–617. [4] T. KOBAYASHI, Ruifeng QIU, Y. RIECK, et al.