Motivic renormalization and singularities

zbMath1218.81081arXiv0804.4824MaRDI QIDQ3001488

Matilde Marcolli

Publication date: 31 May 2011

Full work available at URL: https://arxiv.org/abs/0804.4824

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) (Equivariant) Chow groups and rings; motives (14C15) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Hopf algebras and their applications (16T05)

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