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Titlebook: Algebra, Geometry, and Physics in the 21st Century; Kontsevich Festschri Denis Auroux,Ludmil Katzarkov,Yuri Tschinkel Book 2017 Springer In

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978-3-319-86738-0Springer International Publishing AG, part of Springer Nature 2017
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Algebra, Geometry, and Physics in the 21st Century978-3-319-59939-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Von der Hardware zur Anwendung,ntroduced by Buchsbaum and Eisenbud and later studied by Kempf, De Concini, Strickland and many other people. It is highly singular and can be seen as a proto-typical singular moduli space in algebraic geometry. We introduce a natural derived analog of Com(V) which is a smooth derived scheme RCom(V)
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Von der Hardware zur Anwendung, TQFT can be formulated both in the continuum and on the lattice and generalizes Dijkgraaf–Witten theory by replacing a finite group by a finite 2-group. The basic field in this TQFT is a 2-connection on a principal 2-bundle. We classify topological actions for such theories as well as loop and surf
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Von der Hardware zur Anwendung,egories to 2-dimensional ones. Also, we discuss the notion of motivic Donaldson–Thomas invariants (as defined by M. Kontsevich and Y. Soibelman) in the framework of 2-dimensional Calabi–Yau categories. In particular we propose a conjecture which allows one to define Kac polynomials for a 2-dimension
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Von der Hardware zur Anwendung,We study co-associative fibrations of ..-manifolds. We propose that the adiabatic limit of this structure should be given locally by a maximal submanifold in a space of indefinite signature and set up global versions of the constructions.
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https://doi.org/10.1007/978-3-540-30029-8We prove the non-commutative Hodge-to-de Rham Degeneration Conjecture of Kontsevich and Soibelman.
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