A Riemann-Roch formula for traces of algebraic differential operators
Hou-Yi Chen
TL;DR
This paper establishes a Riemann-Roch type formula for traces of algebraic differential operators, extending analytic results previously proven by Engeli and Felder into an algebraic framework.
Contribution
It provides a new algebraic trace formula for differential operators, bridging a gap between analytic and algebraic approaches.
Findings
Derived a trace formula for algebraic differential operators
Extended analytic results to an algebraic setting
Potential applications in algebraic geometry and operator theory
Abstract
We obtain a trace formula for algebraic differential operators which the corresponding analytic results have been proved by M. Engeli and G. Felder
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models