Stochastic calculus in superspace. II. Differential forms, supermanifolds and the Atiyah-Singer index theorem

DOI10.1088/0305-4470/25/22/027zbMath0772.60048OpenAlexW2075799159MaRDI QIDQ4038908

Alice Rogers

Publication date: 11 October 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/25/22/027

zbMATH Keywords

Feynman-Kac formulaAtiyah-Singer index theoremLaplace- Beltrami operatorbosonic and fermionic Brownian paths

Mathematics Subject Classification ID

Brownian motion (60J65) Supermanifolds and graded manifolds (58A50) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic analysis (60H99)

Related Items (11)

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Super Brownian motion on a loop group. ⋮ Canonical quantization and topological theories ⋮ Fermionic quantum stochastic flows ⋮ Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac ⋮ Path integration, anticommuting variables, and supersymmetry ⋮ Fermionic stochastic differential equations and the index of Fredholm operators ⋮ Anticommuting variables, fermionic path integrals and supersymmetry ⋮ Short-time asymptotics of a rigorous path integral for N = 1 supersymmetric quantum mechanics on a Riemannian manifold ⋮ SUPERSYMMETRY AND BROWNIAN MOTION ON SUPERMANIFOLDS ⋮ A rigorous path integral for supersymmetic quantum mechanics and the heat kernel

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