Topological σ-model, Hamiltonian dynamics and loop space Lefschetz number

@article{Niemi1995TopologicalH,
  title={Topological $\sigma$-model, Hamiltonian dynamics and loop space Lefschetz number},
  author={Antti J. Niemi and Pirjo Pasanen},
  journal={Physics Letters B},
  year={1995},
  volume={386},
  pages={123-130}
}
Equivariant Localization of Path Integrals
We review equivariant localization techniques for the evaluation of Feynman path integrals. We develop systematic geometric methods for studying the semi-classical properties of phase space path
Kramers Equation and Supersymmetry
Hamilton’s equations with noise and friction possess a hidden supersymmetry, valid for time-independent as well as periodically time-dependent systems. It is used to derive topological properties of
Introduction to Supersymmetric Theory of Stochastics
TLDR
The possibility of constructing a unified theory of DLRO has emerged recently within the approximation-free supersymmetric theory of stochastics (STS), which may be interesting to researchers with very different backgrounds because the ubiquitous DLRO is a truly interdisciplinary entity.
Grandes déviations, physique statistique et systèmes dynamiques
La theorie des grandes deviations traite des comportements asymptotiques d'evenements rares. C'est le langage moderne de la physique statistique d'equilibre, qui semble offrir un cadre naturel pour

References

SHOWING 1-9 OF 9 REFERENCES
Topological sigma models
A variant of the usual supersymmetric nonlinear sigma model is described, governing maps from a Riemann surfaceΣ to an arbitrary almost complex manifoldM. It possesses a fermionic BRST-like symmetry,
Symplectic Invariants and Hamiltonian Dynamics
The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: sympletic topology. Surprising rigidity phenomena
On equivalence of Floer's and quantum cohomology
We show that the Floer cohomology and quantum cohomology rings of the almost Kähler manifoldM, both defined over the Novikov ring of the loop space ℒM, are isomorphic. We do it using a BRST trivial
Symplectic fixed points and holomorphic spheres
LetP be a symplectic manifold whose symplectic form, integrated over the spheres inP, is proportional to its first Chern class. On the loop space ofP, we consider the variational theory of the