Curvature of the Determinant Line Bundle for Noncommutative Tori

Curvature of the Determinant Line Bundle for Noncommutative Tori

Hausdorff Center for Mathematics via YouTube Direct link

Intro

1 of 18

1 of 18

Intro

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Curvature of the Determinant Line Bundle for Noncommutative Tori

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  1. 1 Intro
  2. 2 Warm up: zeta regularized determinants
  3. 3 Curved noncommutative tori Ag
  4. 4 Perturbed Dolbeault operator
  5. 5 Scalar curvature for All
  6. 6 What remains to be done
  7. 7 Holomorphic determinants
  8. 8 Cauchy-Riemann operators on An
  9. 9 Quillen's metric on C
  10. 10 Connes' pseudodifferential calculus
  11. 11 Classical symbols
  12. 12 A cutoff integral
  13. 13 The Kontsevich-Vishik trace
  14. 14 Logarithmic symbols
  15. 15 Variations of LogDet and the curvature form
  16. 16 The second variation of log Det
  17. 17 Curvature of the determinant line bundle
  18. 18 A holomorphic determinant a la Quillen

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