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Research interests

Our research deals with differential geometry in many different aspects, from topology to symplectic and Poisson geometry with some focus on mathematical physics. In the following you can find a selection of our recent publications (the complete list can be found in the personal pages of each member).

A Selection of Recent Publications

  1. Antonio Maglio, Alfonso Tortorella, Luca Vitagliano: Shifted Contact Structures on Differentiable Stacks
    International Mathematics Research Notices. IMRN 2024 (2024) 16 11933–11976
  2. Antonio De Nicola, Ivan Yudin: Nilpotent Aspherical Sasakian manifolds
    International Mathematics Research Notices. IMRN 2024 (2024) 15 11221–11238
  3. Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano: Multiplicative connections and their Lie theory
    Communications in Contemporary Mathematics 25 (2023) 01 2150092
  4. Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano: Integrating Nijenhuis structures
    Annali di Matematica Pura e Applicata 202 (2023) 1907-1930
  5. Stephane Geudens, Alfonso G. Tortorella, Marco Zambon: Deformations of Symplectic Foliations
    Advances in Mathematics 404 (2022) B 108445
  6. Alfonso G. Tortorella: The deformation L∞ algebra of a Dirac-Jacobi structure
    Differential Geometry and its Applications 80 (2022) B 101846
  7. Jonas Schnitzer, Alfonso G. Tortorella: Weak dual pairs in Dirac-Jacobi geometry
    Communications in Contemporary Mathematics 25 (2023) 08 2250035, 56 pages
  8. Chiara Esposito, Andreas Kraft, Jonas Schnitzer: The Strong Homotopy Structure of Poisson Reduction
    Journal of Non Commutative Geometry (2022)
  9. Marvin Dippell, Chiara Esposito, Stefan Waldmann: Deformation and Hochschild cohomology of coisotropic algebras
    Annali di Matematica Pura ed Applicata 201 (2022) 1295-1323
  10. Pier Paolo La Pastina, Luca Vitagliano: Deformations of vector bundles over Lie groupoids
    Revista Matemática Complutense (2022)
  11. Chiara Esposito, Niek de Kleijn: Universal deformation formula, formality and actions
    Journal of Non Commutative Geometry (2022)
  12. Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin: Integrable LCK manifolds
    Annals of Global Analysis and Geometry 61 (2022) 479-497
  13. Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano: Fiberwise linear differential operators
    Forum Mathematicum 33 (2021) 6 1445-1469
  14. Chiara Esposito, Niek de Kleijn: L∞-resolutions and twisting in the curved context
    Revista Matematica Iberoamericana 37 (2021) 4 1581-1598
  15. Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero, Ivan Yudin: Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds
    Israel Journal of Mathematics 241 (2021) 37-87
  16. Alfonso G. Tortorella, Luca Vitagliano, Ori Yudilevich: Homogeneous G-Structures
    Annali di Matematica Pura e Applicata 199 (2020) 2357-2380
  17. Adara M. Blaga, Maria Amelia Salazar, Alfonso G. Tortorella, Cornelia Vizman: Contact Dual Pairs
    International Mathematics Research Notices 2020 (2020) 22 8818-8877
  18. Chiara Esposito, Andreas Kraft, Stefan Waldmann: BRST Reduction of Quantum Algebras with *-Involutions
    Communications in Mathematical Physics 378 (2020) 1391-1416
  19. Jonas Schnitzer, Luca Vitagliano: The Local Structure of Generalized Contact Bundles
    International Mathematics Research Notices 2020 (2020) 20 6871-6925
  20. Luca Vitagliano, Aïssa Wade: Holomorphic Jacobi Manifolds and Holomorphic Contact Groupoids
    Mathematische Zeitschrift 294 (2020) 1181-1225
  21. Luca Vitagliano, Aïssa Wade: Holomorphic Jacobi Manifolds
    International Journal of Mathematics 31 (2020) 2050024
  22. Pierre Bieliavsky, Chiara Esposito, Ryszard Nest: Quantization of Hamiltonian Coactions via Twist
    Journal of Symplectic Geometry 18 (2020) 2 385-408
  23. Chiara Esposito, Alfonso Tortorella, Luca Vitagliano: Infinitesimal Automorphisms of VB-Groupoids and Algebroids
    Quarterly Journal of Mathematics 70 (2019) 3 1039-1089
  24. Pier Paolo La Pastina, Luca Vitagliano: Deformations of Linear Lie Brackets
    Pacific Journal of Mathematics 303 (2019) 1 265-298
  25. Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero and Ivan Yudin: Hard Lefschetz Theorem for Vaisman Manifolds
    Transactions of the American Mathematical Society 371 (2019) 2 755-776
  26. Marvin Dippell, Chiara Esposito, Stefan Waldmann: Coisotropic Triples, Reduction and Classical Limit
    Documenta Mathematica 24 (2019) 1811-1853
  27. Beniamino Cappelletti-Montano, Antonio De Nicola, Giulia Dileo, Ivan Yudin: Nearly Sasakian manifolds revisited
    Complex Manifolds 6 (2019) 1 320-334
  28. Luca Vitagliano: Dirac-Jacobi Bundles
    Journal of Symplectic Geometry 16 (2018) 2 485-561
  29. Antonio De Nicola, Giulia Dileo, Ivan Yudin: On Nearly Sasakian and Nearly Cosymplectic Manifolds
    Annali di Matematica Pura e Applicata 197 (2018) 127-138
  30. Vân Lê Hông, Yong-Geun Oh, Alfonso G. Tortorella, Luca Vitagliano: Deformations of Coisotropic Submanifolds in Jacobi Manifolds
    Journal of Symplectic Geometry 16 (2018) 4 1051-1116
  31. Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann and Thomas Weber: Obstructions for Twist Star Products
    Letters in Mathematical Physics 108 (2018) 5 1341-1350