Curvature on determinant bundles and first Chern forms

DOI10.1016/S0393-0440(01)00079-1zbMath1028.58030arXivmath/0009172MaRDI QIDQ1867211

Sylvie Paycha, Steven Rosenberg

Publication date: 2 April 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009172

zbMATH Keywords

regularized tracesWodzicki residueBismut-Freed connection

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (4)

From tracial anomalies to anomalies in quantum field theory ⋮ Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry ⋮ Traces on pseudodifferential operators and sums of commutators ⋮ Renormalised Chern-Weil forms associated with families of Dirac operators

Cites Work

• Superconnections and the Chern character
• Localization formulas, superconnections, and the index theorem for families
• Determinants of Cauchy-Riemann operators on a Riemann surface
• The geometry of loop groups
• Quantum K-theory. I: The Chern character
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Regularisable and minimal orbits for group actions in infinite dimensions
• On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
• Minimal orbits of metrics
• The local index formula in noncommutative geometry
• RENORMALIZED TRACES AS A LOOKING GLASS INTO INFINITE-DIMENSIONAL GEOMETRY
• WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Curvature on determinant bundles and first Chern forms