Mathematics – Quantum Algebra
Scientific paper
2011-05-13
Archivum Mathematicum 47, 143-199, 2011
Mathematics
Quantum Algebra
67 pages, typos corrected, published version
Scientific paper
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV-formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present a proof of the isomorphism between the graph complex and the Chevalley-Eilenberg complex of formal Hamiltonian vectors fields. We briefly discuss how these ideas can be extended to the infinite dimensional setting. These notes should be accessible to both physicists and mathematicians.
Qiu Jian
Zabzine Maxim
No associations
LandOfFree
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27076