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arxiv: 0902.2191 · v1 · submitted 2009-02-12 · 🧮 math.DG

Spectral asymmetry for manifolds of special holonomy

classification 🧮 math.DG
keywords asymmetrymanifoldsspectralspincharacteristicclassescomputedconstant
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We define a measure of spectral asymmetry for G_2 and Spin(7) manifolds. We show that this invariant can be computed in terms of characteristic classes and the covariant constant form defining the G_2 or Spin(7) structure.

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