Singular propagators in deformation quantization and Shoikhet-Tsygan formality
Singular propagators in deformation quantization and Shoikhet-Tsygan formality
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DissertationPrüfungsdatum
20.05.2015Datum der Veröffentlichung
03.06.2015Erstgutachter
Ballmann, WernerZweitgutachter
Willwacher, ThomasMetadaten
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Inhalt
This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps extends to Shoikhet- Tsygan formality and a complex interpolation parameter. We show some elementary relations satisfied by this polynomials. We also compute some Kontsevich integral weights and reason on the number theoretic meaning of the invariance of Kontsevich’s propagator under real translations and scalings in the case of the Merkulov n-wheels.
Klassifikation (DDC)
510 MathematikLöffler, Johannes: Singular propagators in deformation quantization and Shoikhet-Tsygan formality. - Bonn, 2015. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-40233
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-40233
@phdthesis{handle:20.500.11811/6475,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-40233,
author = {{Johannes Löffler}},
title = {Singular propagators in deformation quantization and Shoikhet-Tsygan formality},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2015,
month = jun,
note = {This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps extends to Shoikhet- Tsygan formality and a complex interpolation parameter. We show some elementary relations satisfied by this polynomials. We also compute some Kontsevich integral weights and reason on the number theoretic meaning of the invariance of Kontsevich’s propagator under real translations and scalings in the case of the Merkulov n-wheels.},
url = {https://hdl.handle.net/20.500.11811/6475}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-40233,
author = {{Johannes Löffler}},
title = {Singular propagators in deformation quantization and Shoikhet-Tsygan formality},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2015,
month = jun,
note = {This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps extends to Shoikhet- Tsygan formality and a complex interpolation parameter. We show some elementary relations satisfied by this polynomials. We also compute some Kontsevich integral weights and reason on the number theoretic meaning of the invariance of Kontsevich’s propagator under real translations and scalings in the case of the Merkulov n-wheels.},
url = {https://hdl.handle.net/20.500.11811/6475}
}
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