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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&#...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2002
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/678710 |
| Sumario: | 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. |
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