Zobrazeno 1 - 10
of 30
pro vyhledávání: '"53D40, 57M25"'
Autor:
Mak, Cheuk Yu, Smith, Ivan
We realise Stroppel's extended arc algebra in the Fukaya-Seidel category of a natural Lefschetz fibration on the generic fiber of the adjoint quotient map on a type $A$ nilpotent slice with two Jordan blocks, and hence obtain a symplectic interpretat
Externí odkaz:
http://arxiv.org/abs/1907.07624
Autor:
Lee, Jaepil
For a knot K and its knot Floer complex CFK^-(K), we introduce an algorithm to compute the bordered Floer bimodule of the complement of the knot and its meridian. The grading of the module computes spin^c-summands of a meridional knot in the large De
Externí odkaz:
http://arxiv.org/abs/1804.00886
Autor:
Lee, Jaepil
In the bordered Floer theory, gluing thickened torus of positive meridional Dehn twist to the boundary of a knot complement result in the knot complement of increased framing. For a fixed knot K, we construct a direct system of positively framed knot
Externí odkaz:
http://arxiv.org/abs/1505.07223
Autor:
Abouzaid, Mohammed, Smith, Ivan
This paper realises the Khovanov homology of a link in the 3-sphere as a Lagrangian Floer cohomology group, establishing a conjecture of Seidel and the second author. The starting point is the previously established formality theorem for the symplect
Externí odkaz:
http://arxiv.org/abs/1504.01230
Autor:
Abouzaid, Mohammed, Smith, Ivan
Publikováno v:
Duke Math. J. 165, no. 6 (2016), 985-1060
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology, over fields of characteristic zero. The key ingredient is the construction of a degree one Hochschild cohomology class on a
Externí odkaz:
http://arxiv.org/abs/1311.5535
Autor:
Lee, Jaepil
Publikováno v:
Pacific J. Math. 292 (2018) 139-176
We compute bordered Floer homology CFDD of (2,2n)-torus link complement, and discuss assorted examples and type-DD structure homotopy equivalence.
Comment: Typos fixed, 40 pages, 9 figures
Comment: Typos fixed, 40 pages, 9 figures
Externí odkaz:
http://arxiv.org/abs/1311.2288
Autor:
Seidel, Paul, Smith, Ivan
We consider Lagrangian Floer cohomology for a pair of Lagrangian submanifolds in a symplectic manifold M. Suppose that M carries a symplectic involution, which preserves both submanifolds. Under various topological hypotheses, we prove a localization
Externí odkaz:
http://arxiv.org/abs/1002.2648
Autor:
Waldron, Jack W.
Symplectic Khovanov homology is an invariant of oriented links defined by Seidel and Smith and conjectured to be isomorphic to Khovanov homology. I define morphisms (up to a global sign ambiguity) between symplectic Khovanov homology groups, correspo
Externí odkaz:
http://arxiv.org/abs/0912.5067
Autor:
Ng, Lenhard
Publikováno v:
Invent. Math. 182 (2010), no. 3, 451--512
We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of pos
Externí odkaz:
http://arxiv.org/abs/0806.4598
Autor:
Sabloff, Joshua M
Publikováno v:
Geom. Topol. 10 (2006) 2351-2381
The main result of this paper is that, off of a `fundamental class' in degree 1, the linearized Legendrian contact homology obeys a version of Poincare duality between homology groups in degrees k and -k. Not only does the result itself simplify calc
Externí odkaz:
http://arxiv.org/abs/math/0508187