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