Functional calculus and joint torsion of pairs of almost commuting operators

DOI10.1007/s00020-016-2299-9zbMath1346.47003arXiv1409.6289OpenAlexW2963648166MaRDI QIDQ300818

Joseph Migler

Publication date: 29 June 2016

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6289

zbMATH Keywords

Toeplitz operatorsfunctional calculusdeterminants in K-theoryjoint torsiontame symbol

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Symbols, presentations and stability of (K_2) (19C20)

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Cites Work

• Joint torsion of several commuting operators
• The resultant on compact Riemann surfaces
• Tate tame symbol and the joint torsion of commuting operators
• Non-commutative differential geometry
• Reciprocity for Fredholm operators (Lefschetz numbers/Steinberg symbols/holomorphic chains/local index)
• Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols
• A generalization of Pincus' formula and Toeplitz operator determinants
• Canonical holomorphic sections of determinant line bundles
• Perturbation vectors
• A transformation rule for the index of commuting operators
• Operator algebras and algebraic $K$-theory
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
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