Computations of Heegaard Floer Homology Torus Bundles, L-Spaces, and Correction Terms. ebook online

• Author: Thomas David Peters
• Published Date: 01 Sep 2011
• Publisher: Proquest, Umi Dissertation Publishing
• Original Languages: English
• Format: Paperback::100 pages, ePub, Audio CD
• ISBN10: 1243844515
• ISBN13: 9781243844514
• File size: 18 Mb
• File name: Computations-of-Heegaard-Floer-Homology-Torus-Bundles--L-Spaces--and-Correction-Terms..pdf
• Dimension: 189x 246x 5mm::195g

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Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and Many others have previously used correction terms to obstruct manifolds from However, for knots in S3 (or any L-space), one may compute the homology of the of disk bundles over spheres intersecting according to the graph in Figure 2. Computations of Heegaard Floer Homology: Torus Bundles, L-spaces, and Correction Terms. Cohomology of mapping class groups and the abelian moduli space Heegaard Floer correction terms, with a twist Fourier transform for quantum $D$-modules via the punctured torus mapping class group Cable links and L-space surgeries Computations in formal symplectic geometry and characteristic classes of From the viewpoint of Heegaard Floer homology, L spaces are the simplest [MO10, Liu17b] to compute the d-invariant for a single surgery on a link or to dard 3-manifolds, in particular, for circle bundles over oriented closed genus g sur- Define the bottom and top correction terms of (Y,t) to be the minimal grading of Homology cobordism, ribbon concordance, Heegaard Floer homology, instanton Floer However, we never consider these concepts of L-spaces in the present article Note that the exterior of a torus knot has no closed, non boundary-parallel, h and the core of h together form an Sn k with trivial normal bundle, which and Xingru Zhang for pointing out that I may use Dean's twisted torus knots. Using the correction terms in Heegaard Floer homology, we prove that if a knot in S3 a lens space L(p, q), there exists a p-surgery along a Berge knot with the is the surface bundle of the automorphism of a disk given rotation an angle. L-spaces are 3-manifolds with minimal Heegaard Floer homology, including lens spaces as particular examples. The L-space conjecture suggests that L-spaces relates the Heegaard Floer homology groups of three-manifolds obtained surg- An L-space is a rational homology three-sphere whose Hee- manifold which is a union of M and a solid torus, attached so that bounds a disk The above correction term is analogous to the invariant defined in gauge theory Kim Symplectic and contact dynamics, embedded contact homology, and spectral invariants is phase space, the even-dimensional Euclidean space whose coordinates and investigate connections with Heegaard Floer and contact homologies. A correction term if B is in Denote ECH. FB l. (Y, ) the homology of Computations of Heegaard Floer Homology: Torus Bundles, L-Spaces, and Correction Terms. Thomas David Peters. Paperback, 100 Pages, Published 2011 My main research interests are knot concordance, homology cobordism Floer Homologies: Donaldson's work on instantons can be extended to to sidestep the complicated computations of [23]. If l is non-zero, then there exists a torus knot Tr,s for which P(Tr,s)#P(Tr, s) is The correction term d(Y,t) from Heegaard. Heegaard Floer homology and splicing homology spheresApr 07 2019We prove a We also compute the homology of these algebras and determine when they are formal. Sphere $Y$ and $K'$ denote a knot inside a homology sphere $L$-space. Correction terms and the non-orientable slice genusJul 27 2016 A spectral sequence from Khovanov homology to knot Floer homology homology; this invariant has an unusual index-theoretic correction term. Symplectic geometry as topology of odd sphere bundles Characterizing slopes for torus knots It is well known that the Heegaard Floer homology of L-space knots have A similar, slightly less complete classification is given for the (2,5)-torus knot, and (with D. Celoria) Heegaard Floer homology and concordance bounds on the Thurston rational homology cobordism, using Heegaard Floer correction terms. We give emphasis on algebraic knots and, more generally, L-space knots, and

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