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New Directions in Noncommutative Geometry.

Title
New Directions in Noncommutative Geometry.
Funding
ARC | Discovery Projects
Contract (GA) number
DP0211367
Start Date
2002/01/01
End Date
2004/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP0211367

 

  • Reconstruction of manifolds in noncommutative geometry

    Rennie, Adam; Varilly, Joseph C. (2006)
    Projects: ARC | New Directions in Noncommutative Geometry. (DP0211367)
    We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold.

    Orbifolds are not commutative geometries

    Rennie, Adam; Varilly, Joseph C. (2007)
    Projects: ARC | New Directions in Noncommutative Geometry. (DP0211367)
    In this note we show that the crucial orientation condition for commutative geometries fails for the natural spectral triple of an orbifold M/G.
  • No project research data found
  • Scientific Results

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