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pro vyhledávání: '"A, Wedrich"'
To every compact oriented surface that is composed entirely out of 2-dimensional 0- and 1-handles, we construct a dg category using structures arising in Khovanov homology. These dg categories form part of the 2-dimensional layer (a.k.a. modular func
Externí odkaz:
http://arxiv.org/abs/2404.06301
We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules based on equivariant and deformed versions of $\mathfrak{gl}_N$ link
Externí odkaz:
http://arxiv.org/abs/2401.06600
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard canon of topological quantum field theories in dimension 3 and 4. Here we
Externí odkaz:
http://arxiv.org/abs/2401.02956
We construct a Kirby color in the setting of Khovanov homology: an ind-object of the annular Bar-Natan category that is equipped with a natural handle slide isomorphism. Using functoriality and cabling properties of Khovanov homology, we define a Kir
Externí odkaz:
http://arxiv.org/abs/2210.05640
The skein lasagna module is an extension of Khovanov-Rozansky homology to the setting of a four-manifold and a link in its boundary. This invariant plays the role of the Hilbert space of an associated fully extended (4+epsilon)-dimensional TQFT. We g
Externí odkaz:
http://arxiv.org/abs/2206.04616
Autor:
Manuel Großpötzl, Eva Maria Malle, Regina Riedl, Jakob Daniel Gran, Daniel Djavid, Laura Posch-Pertl, Wilfried Maximilian Glatz, Thomas Falb, Ewald Lindner, Andreas Wedrich, Domagoj Ivastinovic
Publikováno v:
Heliyon, Vol 10, Iss 15, Pp e35096- (2024)
Purpose: To evaluate retinal thickness changes of individual retinal layers using spectral-domain optical coherence tomography (SD-OCT) after uneventful cataract surgery over a 3-months period. Design: Prospective cohort study. Methods: 41 patients w
Externí odkaz:
https://doaj.org/article/b04a9a7ce05d4aa7a00ba0394175cd52
Autor:
Wilfried Glatz, Marlene Glatz, Wolfgang List, Fabian Wallisch, Gernot Steinwender, Domagoj Ivastinovic, Andreas Wedrich
Publikováno v:
Heliyon, Vol 10, Iss 15, Pp e35094- (2024)
Purpose: The retina is supplied with blood through superficial and deep capillary systems. Paracentral acute middle maculopathy (PAMM) is a relatively new terminology based on pathognomonic findings in the spectral-domain optical coherence tomography
Externí odkaz:
https://doaj.org/article/384014291f2f49018459bd9609bb835e
Autor:
Großpötzl, Manuel, Malle, Eva Maria, Riedl, Regina, Gran, Jakob Daniel, Djavid, Daniel, Posch-Pertl, Laura, Glatz, Wilfried Maximilian, Falb, Thomas, Lindner, Ewald, Wedrich, Andreas, Ivastinovic, Domagoj
Publikováno v:
In Heliyon 15 August 2024 10(15)
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the "$y$-ified" link homology of Gorsky--Hogancamp and work of Cautis--Lauda--Sussan. For each lin
Externí odkaz:
http://arxiv.org/abs/2107.09590
We study the skein relation that governs the HOMFLYPT invariant of links colored by one-column Young diagrams. Our main result is a categorification of this colored skein relation. This takes the form of a homotopy equivalence between two one-sided t
Externí odkaz:
http://arxiv.org/abs/2107.08117