Pseudoholomorphic quilts and Khovanov homology
R Rezazadegan - arXiv preprint arXiv:0912.0669, 2009 - arxiv.org
… theory is a conjectural geometric model for Khovanov homology. In this paper we uncover
structures on symplectic Khovanov homology which have analogues in Khovanov homology. …
structures on symplectic Khovanov homology which have analogues in Khovanov homology. …
Khovanov homology from Floer cohomology
M Abouzaid, I Smith - Journal of the American Mathematical Society, 2019 - ams.org
… The theory of pseudo-holomorphic quilts due to Mau, Wehrheim, and Woodward [32,56] …
We have avoided using quilt theory because we would need to discuss the behaviour of the …
We have avoided using quilt theory because we would need to discuss the behaviour of the …
A spectral sequence for Lagrangian Floer homology
R Rezazadegan - arXiv preprint arXiv:1201.4663, 2012 - arxiv.org
… a spectral sequences from Khovanov homology to symplectic Khovanov homology. Also when
a 3-… These maps are given by the count of pseudoholomorphic quilts. The conditions that …
a 3-… These maps are given by the count of pseudoholomorphic quilts. The conditions that …
Khovanov homology from Floer cohomology
I Smith, M Abouzaid - 2019 - repository.cam.ac.uk
… The theory of pseudo-holomorphic quilts due to Mau-Wehrheim-Woodward [61, 33] could be
… We have avoided using quilt theory because we would need to discuss the behaviour of the …
… We have avoided using quilt theory because we would need to discuss the behaviour of the …
Traceless Character Varieties, the Link Surgeries Spectral Sequence, and Khovanov Homology
HT Horton - arXiv preprint arXiv:1702.02259, 2017 - arxiv.org
… ,ω), this Lagrangian Floer homology is computed from a chain complex with generators the
intersection points of L0 and L1 and the differential counts pseudoholomorphic strips u : R × […
intersection points of L0 and L1 and the differential counts pseudoholomorphic strips u : R × […
A sheaf-theoretic model for SL (2, C) Floer homology
M Abouzaid, C Manolescu - J. Eur. Math. Soc.(JEMS), 2020 - ems.press
… In particular, Witten has a proposal for intepreting the Khovanov homology of knots or links …
of Lagrangian correspondences and pseudo-holomorphic quilts developed by Wehrheim and …
of Lagrangian correspondences and pseudo-holomorphic quilts developed by Wehrheim and …
Pseudoholomorphic quilts
K Wehrheim, C Woodward - arXiv preprint arXiv:0905.1369, 2009 - arxiv.org
… considered by Khovanov and Rozansky [6] under the name of pseudoholomorphic foams. The
… In an independent second series of remarks we establish the interaction between the quilt …
… In an independent second series of remarks we establish the interaction between the quilt …
[图书][B] Symplectic Instanton Homology of Knots and Links
DG White - 2023 - search.proquest.com
… to show that Khovanov homology detects the unknot and … homology, given in section
4.3 of [WW10]. The more theoretically useful direct definition, using “quilts of pseudo-holomorphic …
4.3 of [WW10]. The more theoretically useful direct definition, using “quilts of pseudo-holomorphic …
[PDF][PDF] BIRS 13w5037: Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4
D Auroux, HU Boden, O Collin, J Etnyre - 2013 - stats.birs.ca
… Khovanov homology and knot instanton Floer homology, … the question of whether Khovanov
homology detects the unknot… “quilt axiom” – an identity of pseudoholomorphic quilt invariants …
homology detects the unknot… “quilt axiom” – an identity of pseudoholomorphic quilt invariants …
The symplectic arc algebra is formal
M Abouzaid, I Smith - 2016 - projecteuclid.org
… infer that symplectic Khovanov cohomology and Khovanov … which define bimodules via the
quilt formalism of Mau, Wehrheim … Floer data defining the pseudoholomorphic curve equation …
quilt formalism of Mau, Wehrheim … Floer data defining the pseudoholomorphic curve equation …
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