Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics

Simple item page
dc.creatorFeigin, Boris
dc.creatorLosev, Andrey
dc.creatorShoikhet, Boris
dc.date2004-01-28
dc.date.accessioned2026-07-07T05:04:56Z
dc.date.available2026-07-07T05:04:56Z
dc.descriptionIn the present paper we discuss an independent on the Grothendieck-Sato isomorphism approach to the Riemann-Roch-Hirzebruch formula for an arbitrary differential operator. Instead of the Grothendieck-Sato isomorphism, we use the Topological Quantum Mechanics (more or less equivalent to the well-known constructions with the Massey operations from [KS], [P], [Me]). The statement that the Massey operations can "produce" the integral in some set-up, has an independent from the RRH theorem interest. We finish the paper by some open questions arising when the main construction is applied to the cyclic homology (instead of the Hochschild homology).
dc.description24 pages, no figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0401400
dc.identifierhttp://arxiv.org/abs/math/0401400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69998
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleRiemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics
dc.typetext

Files

Collections

arXiv