Cohomology groups on hypercomplex manifolds and Seiberg-Witten equations on Riemannian foliations

Description

The thesis comprises two parts. In the first part, we investigate various cohomological aspects of hypercomplex manifolds and analyse the existence of special metrics. In the second part, we define Seiberg-Witten equations on the leaf space of manifolds which admit a Riemannian foliation of codimension four. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

Links & Downloads

1. https://dipot.ulb.ac.be/dspace/bitstream/2013/252914/4/thesis.pdf
2. https://dipot.ulb.ac.be/dspace/bitstream/2013/252914/5/ContratDiWeber.pdf
3. https://dipot.ulb.ac.be/dspace/bitstream/2013/252914/3/toc.pdf
4. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/252914

Tags

Hyperkähler with torsion

SL(n,H) manifold

basic transversally elliptic operators

twisted differentials

Additional Fields

Identifer	oai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/252914
Date	23 June 2017
Creators	Weber, Patrick
Contributors	Fine, Joel, Bertelson, Mélanie, Angella, Daniele, Gutt, Simone, Haydys, Andriy, Verbitskiy, Misha
Publisher	Universite Libre de Bruxelles, Université libre de Bruxelles, Faculté des Sciences – Mathématiques, Bruxelles
Source Sets	Université libre de Bruxelles
Language	English
Detected Language	English
Type	info:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation
Format	137 p., 3 full-text file(s): application/pdf | application/pdf | application/pdf
Rights	3 full-text file(s): info:eu-repo/semantics/restrictedAccess | info:eu-repo/semantics/closedAccess | info:eu-repo/semantics/openAccess