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Structure of symplectic lie groups and momentum map

Alberto Medina
Tohoku mathematical journal, 2015, 67 (3), pp.419-431. ⟨10.2748/tmj/1446818559⟩
Journal articles hal-00799346v1

Derived symplectic geometry

Damien Calaque
Encyclopedia of Mathematical Physic, 2nd edition, 2023
Dictionary entry hal-04179089v1
Image document

Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Paul-Emile Paradan
Journal of the European Mathematical Society, 2015, 17 (4), pp.955-990. ⟨10.4171/JEMS/523⟩
Journal articles hal-00663048v1
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Stability property of multiplicities of group representations

Paul-Emile Paradan
Journal of Symplectic Geometry, 2019, 17 (5), pp.1389 - 1426. ⟨10.4310/JSG.2019.v17.n5.a5⟩
Journal articles hal-01216505v1
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The Fourier transform of semi-simple coadjoint orbits

Paul-Emile Paradan
Journal of Functional Analysis, 1999, 163, pp.152-179. ⟨10.1006/jfan.1998.3381⟩
Journal articles hal-00773249v1

Approximability of convex bodies and volume entropy of Hilbert geometries

Constantin Vernicos
Pacific Journal of Mathematics, 2017, 287 (1), pp.223-256. ⟨10.2140/pjm.2017.287.223⟩
Journal articles hal-00819134v1
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Horn(p,q)

Paul-Emile Paradan
2020
Preprints, Working Papers, ... hal-02867105v1

Orbifold quantum cohomology of weighted projective spaces

Etienne Mann
Journal of Algebraic Geometry, 2008, 17 (1), http://www.ams.org/distribution/jag/2008-17-01/S1056-3911-07-00465-1/home.html. ⟨10.1090/S1056-3911-07-00465-1⟩
Journal articles hal-00124722v1
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Horn problem for quasi-hermitian Lie groups

Paul-Emile Paradan
2020
Preprints, Working Papers, ... hal-02867106v1

Levi decomposition of analytic Poisson structures and Lie algebroids

Nguyen Tien Zung
Topology, 2003, 42, pp.1403. ⟨10.1016/S0040-9383(03)00006-5⟩
Journal articles hal-00007712v1
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Wall crossing formulaes in Hamiltonian geometry

Paul-Emile Paradan
Progress in Mathematics, 2011, Geometric Aspects of Analysis and Mechanics. In Honor of the 65th Birthday of Hans Duistermaat. (292), pp.295-343. ⟨10.1007/978-0-8176-8244-6_11⟩
Journal articles istex hal-00773253v1
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Multiplicities of the discrete series

Paul-Emile Paradan
2008
Preprints, Working Papers, ... hal-00341993v1

Shifted symplectic reduction of derived critical loci

Mathieu Anel , Damien Calaque
Advances in Theoretical and Mathematical Physics, 2022, 26 (6), pp.1543-1583. ⟨10.4310/ATMP.2022.v26.n6.a1⟩
Journal articles hal-03260929v1
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The equivariant index of twisted dirac operators and semi-classical limits

Paul-Emile Paradan , Michele Vergne
Lie Groups, Geometry, and Representation Theory, 326, Birkhäuser, pp.419-458, 2018, Progress in Mathematics, 978-3-030-02190-0. ⟨10.1007/978-3-030-02191-7_15⟩
Book sections hal-01577715v2
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Action Hamiltonienne et formule de localisation en cohomologie équivariante

Paul-Emile Paradan
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 324, pp.491-496. ⟨10.1016/S0764-4442(99)80378-4⟩
Journal articles istex hal-00773242v1
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Localization of the Riemann-Roch character

Paul-Emile Paradan
Journal of Functional Analysis, 2001, 187 (2), pp.442-509. ⟨10.1006/jfan.2001.3825⟩
Journal articles hal-00773250v1

A Lagrangian Camel

David Théret
Commentarii Mathematici Helvetici, 1999, 74 (4), pp.591-614. ⟨10.1007/s000140050107⟩
Journal articles hal-00818692v1
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The Horn cone associated with symplectic eigenvalues

Paul-Emile Paradan
2022
Preprints, Working Papers, ... hal-03581513v1
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Formal Geometric Quantization

Paul-Emile Paradan
Annales de l'Institut Fourier, 2009, 59 (1), pp.199-238. ⟨10.5802/aif.2429⟩
Journal articles hal-00129737v1
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The multiplicities of the equivariant index of twisted Dirac operators

Paul-Emile Paradan , Michèle Vergne
Comptes Rendus. Mathématique, 2014, 352 (9), ⟨10.1016/j.crma.2014.05.001⟩
Journal articles hal-00975130v1

Crepant resolutions and open strings

Andrea Brini , Renzo Cavalieri , Dustin Ross
2013
Preprints, Working Papers, ... hal-00872730v1
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The moment map and equivariant cohomology with generalized coefficients

Paul-Emile Paradan
Topology, 2000, 39 (2), pp.401-444. ⟨10.1016/S0040-9383(99)00028-2⟩
Journal articles hal-00773248v1
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Formal geometric quantization II

Paul-Emile Paradan
Pacific Journal of Mathematics, 2011, 1 (253), pp.169-211. ⟨10.2140/pjm.2011.253.169⟩
Journal articles hal-00398077v1
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Witten non abelian localization for equivariant K-theory, and the [Q,R]=0 theorem

Paul-Emile Paradan , Michèle Vergne
Memoirs of the American Mathematical Society, In press, ⟨10.1090/memo/1257⟩
Journal articles hal-01145354v2

The Orbit Method in Geometry and Physics

Christian Duval , Laurent Guieu , Valentin Ovsienko
Birkhäuser, 213, 2003, Progress in Mathematics, 978-0-8176-4232-7. ⟨10.1007/978-1-4612-0029-1⟩
Books hal-01812926v1
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Moment polytopes in real symplectic geometry I

Paul-Emile Paradan
2020
Preprints, Working Papers, ... hal-03065807v1

Derived stacks in symplectic geometry

Damien Calaque
Mathieu Anel; Gabriel Catren. New Spaces in Physics: Formal and Conceptual Reflections, Cambridge University Press, pp.155--201, 2021, 9781108854399. ⟨10.1017/9781108854399.007⟩
Book sections hal-01721996v1
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Note sur les formules de saut de Guillemin-Kalkman.

Paul-Emile Paradan
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, 339 (7), pp.467-472. ⟨10.1016/j.crma.2004.07.020⟩
Journal articles hal-00773252v1

Shifted cotangent stacks are shifted symplectic

Damien Calaque
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2019, 28 (1), pp.67-90. ⟨10.5802/afst.1593⟩
Journal articles hal-01423565v1
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Admissible coadjoint orbits for compact Lie groups

Paul-Emile Paradan , Michele Vergne
Transformation Groups, 2018, 23 (3), pp.875-892. ⟨10.1007/s00031-017-9457-2⟩
Journal articles hal-01239495v2