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You searched IISERK - Title: A practical introduction to the simulatoin of molecular systems
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Call Number
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516.35
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Author
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Morel, Fabien. author.
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Title
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A1-Algebraic Topology over a Field [electronic resource] / by Fabien Morel.
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Material Info.
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X, 259 p. online resource.
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Series
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Lecture Notes in Mathematics, 0075-8434 ; 2052
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Series
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Lecture Notes in Mathematics, 0075-8434 ; 2052
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Summary Note
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This text deals with A<sup>1</sup>-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A<sup>1</sup>-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A<sup>1</sup>-homotopy sheaves, A<sup>1</sup>-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
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Notes
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1 Introduction -- 2 Unramified sheaves and strongly A1-invariant sheaves -- 3 Unramified Milnor-Witt K-theories -- 4 Geometric versus canonical transfers -- 5 The Rost-Schmid complex of a strongly A1-invariant sheaf -- 6 A1-homotopy sheaves and A1-homology sheaves -- 7 A1-coverings -- 8 A1-homotopy and algebraic vector bundles -- 9 The affine B.G. property for the linear groups and the Grassmanian.
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ISBN
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9783642295140
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Subject
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Mathematics.
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Subject
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Geometry, Algebraic.
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Subject
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K-theory.
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Subject
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Algebraic topology.
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Subject
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Mathematics.
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Subject
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Geometry, Algebraic.
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Subject
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K-Theory.
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Subject
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Algebraic Topology.
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Added Entry
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SpringerLink (Online service)
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Date
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Year, Month, Day:01405141
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Link
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Online book
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