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GENERALIZED SIGNED

Generalized geometry: 3-manifolds and applications

Total Cost €

0

EC-Contrib. €

0

Partnership

0

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Project "GENERALIZED" data sheet

The following table provides information about the project.

Coordinator
UNIVERSIDAD AUTONOMA DE BARCELONA 

Organization address
address: CALLE CAMPUS UNIVERSITARIO SN CERDANYOLA V
city: CERDANYOLA DEL VALLES
postcode: 8290
website: http://www.uab.es

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Spain [ES]
 Total cost 170˙121 €
 EC max contribution 170˙121 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-09-01   to  2021-04-02

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSIDAD AUTONOMA DE BARCELONA ES (CERDANYOLA DEL VALLES) coordinator 170˙121.00

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 Project objective

Generalized geometry is a revolutionary approach to geometric structures pioneered by Hitchin in 2003, soon becoming an active topic catching the interest and bringing together the expertise of geometers and theoretical physicists. Generalized complex structures, defined for even-dimensional manifolds, are both a genuinely interesting mathematical structure, providing insight of complex and symplectic geometry, and the suitable notion for some physical theories like mirror symmetry. Odd-dimensional manifolds within generalized geometry have not been satisfactorily studied until the recent introduction of generalized geometry of type Bn and its study in my PhD thesis. There, the case of 3-manifolds drew special attention thanks to the recent Thurston's geometrization theorem and the fact that the type-change locus of a 3-manifold is a link, bringing in knot and link theory. This action combines the generalized geometry expertise of the experienced researcher with the host’s expertise on 3-manifold and knot and link theory in order to set a novel geometrical framework for structures on odd-dimensional manifolds, understand the case of 3-manifolds in depth, and create a two-way bridge between these previously unrelated areas, with innovative applications in both.

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