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GENERALIZED SIGNED

Generalized geometry: 3-manifolds and applications

Total Cost €

EC-Contrib. €

Partnership

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GENERALIZED project word cloud

Explore the words cloud of the GENERALIZED project. It provides you a very rough idea of what is the project "GENERALIZED" about.

action phd geometers link manifold geometrization understand structure mathematical notion introduction physicists manifolds previously theories hitchin bn soon odd until satisfactorily theorem geometrical knot physical dimensional theory innovative revolutionary genuinely catching locus framework thesis researcher fact create pioneered bridge 2003 interesting generalized symmetry suitable geometry drew special geometric structures thanks expertise mirror theoretical unrelated thurston host combines symplectic active

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 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.	ES (CERDANYOLA DEL VALLES)	coordinator	170˙121.00

Map

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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