Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy

We discuss some results in Calabi-Yau universal-gebra suitable for constructing and classifying the infinite series of the compact complex spaces with $SU(n)$ holonomy. This universal-gebraic approach includes natural extensions of reflexive weight vectors to higher dimensions. It includes a `dual&#...

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Detalles Bibliográficos
Autores principales: Anselmo, F, Maslikov, A A, Volkov, G
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/678710
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author Anselmo, F
Maslikov, A A
Volkov, G
author_facet Anselmo, F
Maslikov, A A
Volkov, G
author_sort Anselmo, F
collection CERN
description We discuss some results in Calabi-Yau universal-gebra suitable for constructing and classifying the infinite series of the compact complex spaces with $SU(n)$ holonomy. This universal-gebraic approach includes natural extensions of reflexive weight vectors to higher dimensions. It includes a `dual' construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi-Yau spaces in arbitrary dimensions.
id cern-678710
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-6787102019-09-30T06:29:59Zhttp://cds.cern.ch/record/678710engAnselmo, FMaslikov, A AVolkov, GUniversal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) HolonomyXXWe discuss some results in Calabi-Yau universal-gebra suitable for constructing and classifying the infinite series of the compact complex spaces with $SU(n)$ holonomy. This universal-gebraic approach includes natural extensions of reflexive weight vectors to higher dimensions. It includes a `dual' construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi-Yau spaces in arbitrary dimensions.IHEP-2002-39oai:cds.cern.ch:6787102002
spellingShingle XX
Anselmo, F
Maslikov, A A
Volkov, G
Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title_full Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title_fullStr Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title_full_unstemmed Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title_short Universal Calabi-Yau Algebra: Towards an Unification of Geometry with SU(n) Holonomy
title_sort universal calabi-yau algebra: towards an unification of geometry with su(n) holonomy
topic XX
url http://cds.cern.ch/record/678710
work_keys_str_mv AT anselmof universalcalabiyaualgebratowardsanunificationofgeometrywithsunholonomy
AT maslikovaa universalcalabiyaualgebratowardsanunificationofgeometrywithsunholonomy
AT volkovg universalcalabiyaualgebratowardsanunificationofgeometrywithsunholonomy

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