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Lefschetz fibrations, Lie groupoids and noncommutative geometry

Abstract

In this project we study symplectic Lefschetz fibrations on certain classes of symplectic manifolds, namely, symplectic leaves of semi-simple Poisson Lie groups and nilpotent adjoint orbits. We also study the Fukaya-Seidel category of symplectic leaves of Poisson Lie groups and their homogeneous Poisson spaces, by studying the Fukaya-Seidel category of the corresponding symplectic groupoids integrating a Poisson Lie group and their homogeneous spaces, respectively. Other topics such as: deformations of Calabi-Yau threefolds, characteristic classes of stacks, deformations of complex manifolds and homological Mirror Symmetry, are presented as Ph.D. projects related to this research proposal. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
GASPARIM, ELIZABETH; SUZUKI, BRUNO. Curvature grafted by instantons. INDIAN JOURNAL OF PHYSICS, v. 95, n. 8, SI, p. 1631-1638, AUG 2021. Web of Science Citations: 0.
GASPARIM, ELIZABETH; SUZUKI, BRUNO. Curvature grafted by instantons. INDIAN JOURNAL OF PHYSICS, JUN 2021. Web of Science Citations: 0.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.