GENTLE II

+DÉCOLLAGE


Generalized geometry: towards topology, geometry, number theory; naturality, connections and low dimensions

+ deformations, cobordisms and Levi-flat structures

Spanish State Research Agency grants
GEN2GEN, GENTLE + DÉCOLLAGE
Universitat Autònoma de Barcelona

Objectives

GEN2GEN is exploring six lines of research:

Almost Hermitian Courant algebroids

The higher general Lie groupoid and higher parallel transport

Symmetric Poisson geometry and applications

Contact and SHS in generalized geometry

A new approach to generalized Sasakian

Courant algebroids and modular forms

DÉCOLLAGE deals with these four lines:

The Dirac complement problem and deformation theory

Cobordism theory and applications

Local and global properties of B3-structures

Complex-foliated generalized geometry & Levi-flat structures

GENTLE worked on six lines of research:

Naturality in generalized geometry

The role of symmetry and skew-symmetry

Holonomy & generalized connections

Generalized handle attachment

B3-geometry and Bianchi 3-folds

B2-geometry on surfaces

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