Results 21 to 30 of about 1,026,270 (282)
Symplectic homology and the Eilenberg-Steenrod axioms [PDF]
We give a definition of symplectic homology for pairs of filled Liouville cobordisms, and show that it satisfies analogues of the Eilenberg-Steenrod axioms except for the dimension axiom.
Cieliebak, Kai, Oancea, Alexandru
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Homology operations in symmetric homology [PDF]
The symmetric homology of a unital associative algebra $A$ over a commutative ground ring $k$, denoted $HS_*(A)$, is defined using derived functors and the symmetric bar construction of Fiedorowicz. In this paper we show that $HS_*(A)$ admits homology operations and a Pontryagin product structure making $HS_*(A)$ an associative commutative graded ...
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Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies [PDF]
We exhibit an infinite family of knots with isomorphic knot Heegaard Floer homology. Each knot in this infinite family admits a nontrivial genus two mutant which shares the same total dimension in both knot Floer homology and Khovanov homology. Each knot
Allison H Moore +2 more
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Pixel-Level Clustering of Hematoxylin–Eosin-Stained Sections of Mouse and Human Biliary Tract Cancer
We previously established mouse models of biliary tract cancer (BTC) based on the injection of cells with biliary epithelial stem cell properties derived from KRAS(G12V)-expressing organoids into syngeneic mice.
Haruki Inoue +6 more
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While the history and technology of cinema are considered for the purpose of achieving decolonial ends, this paper suggests that ‘classic’ cinema may be considered a quintessentially settler colonial medium.
Lorenzo Veracini
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The paper is focused on the so called localization problem which can be characterised as a determination of certain topological features within a space. While the topology, and especially the homology gives the information about the existence of the topological features and attributes, the information about their location cannot be directly known.
Zomorodian, Afra, Carlsson, Gunnar
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Connectivity reveals homology between the visual systems of the human and macaque brains
The visual systems of humans and nonhuman primates share many similarities in both anatomical and functional organization. Understanding the homology and differences between the two systems can provide important insights into the neural basis of visual ...
Xia Lu +7 more
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Instantons and odd Khovanov homology [PDF]
We construct a spectral sequence from the reduced odd Khovanov homology of a link converging to the framed instanton homology of the double cover branched over the link, with orientation reversed.
Scaduto, Christopher W.
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The Hodge conjecture: The complications of understanding the shape of geometric spaces
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
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Evolution, Homology, and Development of Tetrapod Limb Muscles
Since the early 1900s, researchers have attempted to unravel the origin and evolution of tetrapod limb muscles using a combination of comparative anatomy, phylogeny, and development.
Julia L. Molnar, Rui Diogo
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