Operator algebras and topology (original) (raw)

A Riemann-Roch-Hirzebruch formula for traces of differential operators

Markus Engeli

Annales scientifiques de l'École normale supérieure, 2008

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On the differentiation of De Rham cohomology classes with respect to parameters

Nicholas Katz

Journal of Mathematics of Kyoto University

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Notes on Harmonic Maps

georgios daskalopoulos

arXiv (Cornell University), 2023

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On twisted de Rham cohomology

Steven Sperber

Nagoya Mathematical Journal, 1997

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Abstract Differential Geometry, Differential Algebras of Generalized Functions, and de Rham Cohomology

Elemer Elad Rosinger

1999

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A cohomology for vector valued differential forms

Peter Michor

Annals of Global Analysis and Geometry, 1989

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Harmonic maps of foliated Riemannian manifolds

Andrea Tommasoli, Sorin Dragomir

Geometriae Dedicata, 2013

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Removable Singularities of 𝒲𝒯-Differential Forms and Quasiregular Mappings

Olli Martio

Boundary Value Problems, 2007

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Differential forms and the noncommutative residue

William Ugalde

Journal of Geometry and Physics, 2008

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Special Itô maps and an L 2 Hodge theory for one forms on path spaces

K.d. Elworthy

… , physics, and geometry: new interplays: a …, 2000

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On Quantum De Rham Cohomology Theory

Huai-Dong Cao

2013

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On Elliptic Differential Operators with Shifts II. The Cohomological Index Formula

Anton Savin

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De Rham-Hodge theory for L2-cohomology of infinite coverings

Józef Dodziuk

Topology, 1977

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A geometric description of differential cohomology

Thomas Schick

Annales mathématiques Blaise Pascal, 2010

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A Poincaré-Hopf type theorem for the de Rham invariant

Daniel Chess

Bulletin of the American Mathematical Society, 1980

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Traces in deformation quantization and a Riemann-Roch-Hirzebruch formula for differential operators

Markus Engeli

2008

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De Rham cohomology of diffeological spaces and foliations

Gilbert Hector

Indagationes Mathematicae, 2011

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Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology

Qusay S. A. Al-Zamil

Topology and its Applications, 2012

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Sobolev spaces of differential forms and de Rham-Hodge isomorphism

Jozef Dodziuk

Journal of Differential Geometry

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On Regular Fréchet-Lie Groups III; A Second Cohomology Class Related to the Lie Algebra of Pseudo-Differential Operators of Order One

akira yoshioka

Tokyo Journal of Mathematics, 1981

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On the spectrum of the Laplace-Beltrami operator for p-forms on asymptotically hyperbolic manifolds

francesca antoci

arXiv: Spectral Theory, 2003

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On the generalized of harmonic and bi-harmonic maps

Seddik Ouakkas

International Electronic Journal of Geometry

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Special Ito ̂ maps and an L2 Hodge theory

K.d. Elworthy

2015

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On the failure of the Poincaré lemma for the barpartialM{\bar\partial_M}barpartialM complex

Mauro Nacinovich

Mathematische Annalen, 2002

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Complexes of differential operators

Barry MacKichan

Inventiones Mathematicae, 1976

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D-modules, contact valued calculus and Poincaré-Cartan form

Ricardo J Alonso-Blanco

1999

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A canonical differential complex for Jacobi manifolds

Juan Marrero

1998

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Differential operators on complex manifolds with a flat protective structure

Indranil Biswas

Journal de Mathématiques Pures et Appliquées, 1999

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Vanishing theorems for square-integrable harmonic forms

Józef Dodziuk

Proceedings Mathematical Sciences, 1981

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Modules of vector fields, differential forms and degenerations of differential systems

Piotr Mormul

Israel Journal of Mathematics, 1996

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Harmonic forms on manifolds with edges

Eugenie Hunsicker

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L p Theory of Differential Forms on Manifolds

Chad Scott

Transactions of the American Mathematical Society, 1995

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Cohomology of harmonic forms on Riemannian manifolds with boundary

Sylvain Cappell

Forum Mathematicum, 2000

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Cohomology of coinvariant differential forms

Abdelhak Abouqateb

arXiv: Differential Geometry, 2018

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Laplace operators in deRham complexes associated with measures on configuration spaces

Yuri Kondratiev

Journal of Geometry and Physics, 2003

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