LEIBNIZ HOMOLOGY OF LIE ALGEBRAS AS FUNCTOR HOMOLOGY ERIC HOFFBECK AND CHRISTINE VESPA Abstract. We prove that Leibniz homology of Lie algebras can be described as functor homology in the category of linear functors from

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• Algebra
• Abstract algebra
• Mathematics
• Homological algebra
• Category theory
• Algebras
• Algebraic topology
• Operad theory
• Hochschild homology
• Functor
• Enriched category
• Monoidal category

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–1190) HOMOLOGY COBORDISM AND TRIANGULATIONS Ciprian Manolescu

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• Topology
• Mathematics
• Geometric topology
• Homology theory
• 3-manifolds
• Algebraic topology
• Differential topology
• Floer homology
• Homology sphere
• Homology
• Donaldson theory
• Cobordism

Grivaux, Julien On a conjucture of Kashiwara relating Chern and Euler classes of O-modules. (English) Zbl
J. Differ. Geom. 90, No. 2, Characteristic classes in Hochschild homology are well

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Sheaf theory
• Characteristic classes
• Complex manifolds
• Vector bundles
• Coherent sheaf
• Cohomology
• Todd class
• Sheaf

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–1172) SPATIAL REFINEMENTS AND KHOVANOV HOMOLOGY Robert Lipshitz and Sucharit Sarkar

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• Abstract algebra
• Algebra
• Mathematics
• Homological algebra
• Homology theory
• Functors
• Algebraic topology
• Homotopy theory
• Homology
• Natural transformation
• Singular homology
• Khovanov homology

FUNCTOR CATEGORIES AND STABLE HOMOLOGY VIA FUNCTOR HOMOLOGY CHRISTINE VESPA Abstract. This text is a preliminary version of material used for a course at the University of Tokyo, January 18-22, 2016. These lectures conce

Source URL: irma.math.unistra.fr

• Algebra
• Abstract algebra
• Mathematics
• Homological algebra
• Functors
• Category theory
• Additive categories
• Equivalence
• Exact functor
• Natural transformation
• Adjoint functors
• Hochschild homology

Definition of graph complexes Origins and applications Structure of graph homology Applications and Outlook Graph complexes

Source URL: people.math.ethz.ch

• Graph theory
• Mathematics
• Discrete mathematics
• Graph
• Degree
• Graph coloring

What is stable homology? The results A general method

Source URL: irma.math.unistra.fr

• Algebra
• Monoidal categories
• Category theory
• Mathematics
• Homology
• Symmetric monoidal category
• Monoid

STABLE HOMOLOGY VIA FUNCTOR HOMOLOGY CHRISTINE VESPA Abstract. This text is a preliminary version of material used for a course at the University of Copenhagen, part of ”Workshop and Masterclass on Homological stabilit

Source URL: irma.math.unistra.fr

• Algebra
• Abstract algebra
• Mathematics
• Homological algebra
• Hochschild homology
• Natural transformation
• Homology
• Universal coefficient theorem
• Symmetric group
• Functor
• Resolution
• Ring

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–1084) KNOT CONTACT HOMOLOGY AND OPEN GROMOV–WITTEN THEORY Tobias Ekholm

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• Topology
• Differential topology
• Theoretical physics
• Symplectic topology
• Homology theory
• Morse theory
• Contact geometry
• Quantum field theory
• ChernSimons theory
• Floer homology
• Relative contact homology

WEIGHT HOMOLOGY OF MOTIVES SHANE KELLY AND SHUJI SAITO Abstract. In the first half of this article we define a new weight homology functor on Voevodsky’s category of effective motives, and investigate some of its prope

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