Heegaard splitting information

In the mathematical field of geometric topology, a Heegaard splitting (Danish: [ˈhe̝ˀˌkɒˀ] ) is a decomposition of a compact oriented 3-manifold that results...

splitting Splitting, railway operation Heegaard splitting Splitting field Splitting principle Splitting theorem Splitting lemma for the numerical method to...

His 1898 thesis introduced a concept now called the Heegaard splitting of a 3-manifold. Heegaard's ideas allowed him to make a careful critique of work...

construction of Heegaard Floer homology is based on a variant of Lagrangian Floer homology for totally real submanifolds defined using a Heegaard splitting of a...

{\displaystyle C(S)} thus determines a Heegaard splitting of a three-manifold, with the additional data of an Heegaard diagram (a maximal system of disjoint...

dual decomposition), thus a Heegaard splitting. If the 3-manifold has a triangulation T, there is an induced Heegaard splitting where the first (3,1)-handlebody...

3-manifold is the one that uses the word as the attaching map for a Heegaard splitting of the 3-manifold. The algorithm is based on the concept of a layered...

positive boundary. Compression bodies often arise when manipulating Heegaard splittings. Bonahon, Francis (2002). "Geometric structures on 3-manifolds"....

Clifford torus divides this 3-sphere into two congruent solid tori (see Heegaard splitting). Since O(4) acts on R4 by orthogonal transformations, we can move...

Theorem, Flat manifolds, Crystallographic groups Seifert fiber space Heegaard splitting Waldhausen conjecture Compression body Handlebody Incompressible surface...

regular neighbourhood of the union of the link and its tunnels forms a Heegaard splitting of the link exterior. The unknot is the only knot with tunnel number...

handlebodies in 3-manifold theory comes from their connection with Heegaard splittings. The importance of handlebodies in geometric group theory comes from...

of California, Santa Barbara. Her dissertation, Classification of Heegaard Splittings for Some Seifert Manifolds, was supervised by Martin Scharlemann...

resultant boundaries with disjoint balls. Prime manifolds Connected sum Heegaard splitting Closed, orientable 3-manifolds Two handlebodies of equal genus Union...

representations of π 1 ( M ) {\displaystyle \pi _{1}(M)} . For a Heegaard splitting Σ = M 1 ∪ F M 2 {\displaystyle \Sigma =M_{1}\cup _{F}M_{2}} of M {\displaystyle...

the theory of 3-manifolds. He dealt mainly with Haken manifolds and Heegaard splitting. Among other things, he proved that, roughly speaking, any homotopy...

David Gabai's concept of thin position from knots to 3-manifolds and Heegaard splittings. Thompson has also been an activist for reform of primary and secondary...

Daryl; Scharlemann, Martin (1999), "The structure of a solvmanifold's Heegaard splittings" (PDF), Proceedings of 6th Gökova Geometry-Topology Conference, Turkish...

knot" Topology 29 (1990), no. 4, 481–500. with Abigail Thompson, "Heegaard splittings of (surface) x I are standard" Mathematische Annalen 295 (1993),...

1.309.7235. doi:10.2307/1970830. JSTOR 1970830. S2CID 17300671. "Heegaard splittings of branched coverings of 𝑆³". Transactions of the American Mathematical...