Publications

Generalities

Some of the articles can not be downloaded from the journals without registrations etc. If there is any problem with this please drop me a line and I will send you a preprint.

Most of my publications can be found on the xxx-preprint server and Google scholar.

Preprints

1. Chiara Esposito, Niek de Kleijn, Jonas Schnitzer: A proof of Tsygan's formality conjecture for Hamiltonian actions
   Preprint. December 2018, 9 pages.
   [Abstract] [Postscript] [PDF]

Books and Editorial work

1. Chiara Esposito: Formality theory: from Poisson structures to deformation quantization .
   Springer-Verlag Heidelberg, Berlin, New York, 2014. DOI: 10.1007/978-3-31909290-4.
   [Online version] [MR3308436]
   
2. Pierre Bieliavsky, Chiara Esposito, Ryszard Nest and Stefan Waldmann: Deformation Quantization: between formal to strict . Oberwolfach reports based on the presentations at the Mini-Workshop "Deformation Quantization: between formal to strict". DOI: 10.4171/OWR/2015/11.
   MFO 2015.

Published articles (anti-chronological)

1. Chiara Esposito, Niek de Kleijn: Universal Deformation Formula, Formality and Actions
   Journal of Noncommutative Geometry (to appear)
   [Abstract] [Postscript] [PDF]
2. Marvin Dippell, Chiara Esposito, Stefan Waldmann: Deformation and Hochschild Cohomology of Coisotropic Algebras
   Annali di Matematica Pura e Applicata (to appear)
   https://10.1007/s10231-021-01158-7.
   [Abstract] [Postscript] [PDF]
3. Chiara Esposito, Andreas Kraft, Jonas Schnitzer: The Strong Homotopy Structure of Poisson Reduction
   Journal of Noncommutative Geometry (to appear)
   [Abstract] [Postscript] [PDF]
4. Chiara Esposito, Niek de Kleijn: L-infinity-resolutions and twisting in the curved context
   Revista Matemática Iberoamericana 37 (2021), 1581--1598 pages
   https://doi.org/10.4171/rmi/1239.
   [Abstract] [Postscript] [PDF]
5. Chiara Esposito, Andreas Kraft, Stefan Waldmann: BRST Reduction of Quantum Algebras with ∗-Involutions
   Communication in Mathematical Physics 378 (2020), 1391--1416 pages
   https://doi.org/10.1007/s00220-020-03764-7 .
   [Abstract] [Postscript] [PDF]
6. Pierre Bieliavsky, Chiara Esposito, Ryszard Nest: Quantization of Hamiltonian coactions via twist
   Journal of Symplectic Geometry 18 (2020), 2, 385 -- 408 pages
   https://doi.org/10.4310/JSG.2020.v18.n2.a2 .
   [Abstract] [Postscript] [PDF]
7. Marvin Dippell, Chiara Esposito, Stefan Waldmann: Coisotropic Triples, Reduction and Classical Limit
   Documenta Mathematica 24 (2019), 1811-1853 pages
   https://doi.org/10.25537/dm.2019v24.1811-1853 .
   [Abstract] [Postscript] [PDF]
8. Chiara Esposito, Philipp Schmitt, Stefan Waldmann: Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits
   Forum Mathematicum 31 (2019), 5, 1203-1223 pages
   https://doi.org/10.1515/forum-2018-0302 .
   [Abstract] [Postscript] [PDF]
9. Chiara Esposito, Alfonso G. Tortorella and Luca Vitagliano: Infinitesimal Automorphisms of VB-groupoids and algebroids
   Quarterly Journal of Mathematics 70 (2019), 3, 1039-1089 pages
   https://doi.org/10.1093/qmath/haz007 .
   [Abstract] [Postscript] [PDF]
10. Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann and Thomas Weber: Obstructions for Twist Star Products
    Letters in Mathematical Physics 108 (2018), 5, 1341-1350 pages
    https://doi.org/10.1007/s11005-017-1034-z .
    [Abstract] [Postscript] [PDF]
11. Chiara Esposito, Jonas Schnitzer and Stefan Waldmann: A Universal Construction of Universal Deformation Formulas, Drinfel'd Twists and their Positivity
    Pacific Journal of Mathematics 291 (2017), 2, 319--358 pages
    https://doi.org/10.2140/pjm.2017.291.319 .
    [Abstract] [Postscript] [PDF]
12. Chiara Esposito, Eva Miranda: Rigidity of infinitesimal momentum maps.
    Israel Journal of Mathematics 219 (2017), 2, 757-781 pages
    https://doi.org/10.1007/s11856-017-1497-8 .
    [Abstract] [Postscript] [PDF]
13. Antonio de Nicola, Chiara Esposito: Reduction of pre-Hamiltonian actions.
    Journal of Geometry and Physics 115 (2017), 178-190 pages
    https://doi.org/10.1016/j.geomphys.2016.03.017 .
    [Abstract] [Postscript] [PDF]
14. Chiara Esposito, Paul Stapor and Stefan Waldmann: Convergence of the Gutt star product.
    Journal of Lie theory 27 (2017), 2, 579-622 pages.
    [Abstract] [Postscript] [PDF]
15. Chiara Esposito, Ryszard Nest: Uniqueness of the momentum map.
    Journal of Geometry and Physics 106 (2016), 342–351 pages
    https://doi.org/10.1016/j.geomphys.2016.03.028 .
    [Abstract] [Postscript] [PDF]
16. Jorge Arvesu Carballo, Chiara Esposito: A high order q-difference equation for q-Hahn multiple orthogonal polynomials.
    Journal of Difference Equations and Applications. 18 (2012). 10.1080/10236198.2010.524211
    [Abstract] [Postscript] [PDF] [MR2929117]

Proceedings

1. Chiara Esposito: Poisson Reduction.
   Geom. Methods Phys 20 (2012) . XXXI Workshop Bialowieza (2012).
   [Abstract] [Postscript] [PDF]
   
2. Chiara Esposito: Quantization of Poisson-Hamiltonian systems.
   Banach Center (2014) . From Poisson Brackets to Universal Quantum Symmetries, Eds: Nicola Ciccoli, Andrzej Sitarz.
   [Abstract] [Postscript] [PDF]
   

Theses

1. Chiara Esposito: L'evoluzione classica e quantistica nel formalismo di Weyl-Wigner-Moyal.
   Master thesis in physics, Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Napoli (2006).
2. Chiara Esposito: On the classical and quantum momentum map.
   Ph. D. thesis in mathematics, University of Copenhagen, (2012).