Relevant bibliographies by topics / Algebraic geometry – (Co)homology theory – de Rham cohomology

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Algebraic geometry – (Co)homology theory – de Rham cohomology'

Author: Grafiati
Published: 27 July 2024
Last updated: 31 July 2025

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Journal articles on the topic "Algebraic geometry – (Co)homology theory – de Rham cohomology"

1

Toën, Bertrand, and Gabriele Vezzosi. "Algèbres simplicialesS1-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs." Compositio Mathematica 147, no. 6 (2011): 1979–2000. http://dx.doi.org/10.1112/s0010437x11005501.

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AbstractThis work establishes a comparison between functions on derived loop spaces (Toën and Vezzosi,Chern character, loop spaces and derived algebraic geometry, inAlgebraic topology: the Abel symposium 2007, Abel Symposia, vol. 4, eds N. Baas, E. M. Friedlander, B. Jahren and P. A. Østvær (Springer, 2009), ISBN:978-3-642-01199-3) and de Rham theory. IfAis a smooth commutativek-algebra andkhas characteristic 0, we show that two objects,S1⊗Aand ϵ(A), determine one another, functorially inA. The objectS1⊗Ais theS1-equivariant simplicialk-algebra obtained by tensoringAby the simplicial groupS1:=
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Dissertations / Theses on the topic "Algebraic geometry – (Co)homology theory – de Rham cohomology"

1

Tshilombo, Mukinayi Hermenegilde. "Cohomologies on sympletic quotients of locally Euclidean Frolicher spaces." Thesis, 2015. http://hdl.handle.net/10500/19942.

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This thesis deals with cohomologies on the symplectic quotient of a Frölicher space which is locally diffeomorphic to a Euclidean Frölicher subspace of Rn of constant dimension equal to n. The symplectic reduction under consideration in this thesis is an extension of the Marsden-Weinstein quotient (also called, the reduced space) well-known from the finite-dimensional smooth manifold case. That is, starting with a proper and free action of a Frölicher-Lie-group on a locally Euclidean Frölicher space of finite constant dimension, we study the smooth structure and the topology induced on a
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Books on the topic "Algebraic geometry – (Co)homology theory – de Rham cohomology"

1

Basterra, Maria, Kristine Bauer, Kathryn Hess, and Brenda Johnson. Women in topology: Collaborations in homotopy theory : WIT, Women in Topology Workshop, August 18-23, 2013, Banff International Research Station, Banff, Alberta, Canada. American Mathematical Society, 2015.

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Perfectoid Spaces: Lectures from the 2017 Arizona Winter School. American Mathematical Society, 2019.

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Kedlaya, Kiran S., Debargha Banerjee, Ehud de Shalit, and Chitrabhanu Chaudhuri. Perfectoid Spaces. Springer Singapore Pte. Limited, 2022.

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Perfectoid Spaces. Springer, 2023.

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Bounded Cohomology of Discrete Groups. American Mathematical Society, 2017.

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Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. American Mathematical Society, 2010.

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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras. American Mathematical Society, 2018.

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Noncommutative geometry and global analysis: Conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany. American Mathematical Society, 2011.

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Book chapters on the topic "Algebraic geometry – (Co)homology theory – de Rham cohomology"

1

Joyce, Dominic D. "Background Material." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0001.

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Abstract In this chapter we explain some background necessary for understanding the rest of the book. We shall assume that the reader is already familiar with the basic ideas of differential and Riemannian geometry (in particular, manifolds and submanifolds, tensors, and Riemannian metrics) and of algebraic topology (in particular, fundamental group, homology and cohomology). We start in 1.1 with a short introduction to exterior forms on manifolds, de Rham cohomology, and Hodge theory. These will be essential tools later in the book, and we discuss them out of completeness, and to fix notation
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