Quantum fluctuations and geometry: from graph counting to Ricci flow

DOI10.1016/S0034-4877(09)90026-XzbMath1204.81114arXiv0902.2061MaRDI QIDQ963213

Mauro Carfora, Stefano Romano

Publication date: 8 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2061

zbMATH Keywords

quantum field theoryRicci flow

Mathematics Subject Classification ID

Related Items (2)

Renormalization group and the Ricci flow ⋮ Total mass under connection Ricci flow

Cites Work

• A gradient flow for worldsheet nonlinear sigma models
• Stability of the (two-loop) renormalization group flow for nonlinear sigma models
• Nonlinear models in \(2+\epsilon\) dimensions
• Ricci deformation of the metric on a Riemannian manifold
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates
• The Euler characteristic of the moduli space of curves
• Three-manifolds with positive Ricci curvature
• On the long-time behavior of type-III Ricci flow solutions
• Riemannian Groupoids and Solitons for Three-Dimensional Homogeneous Ricci and Cross-Curvature Flows
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
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