The analytic index for a family of Dirac-Ramond operators
Orlando Alvarez, Paul Windey (LPTHE)
TL;DR
This paper derives a cohomological formula for the analytic index of the Dirac-Ramond operator and explores its modular properties, contributing to the mathematical understanding of these operators in geometric and physical contexts.
Contribution
It introduces a new cohomological formula for the Dirac-Ramond operator's analytic index and analyzes its modular behavior, advancing the theoretical framework.
Findings
Derived a cohomological formula for the index
Established modular properties of the index
Enhanced understanding of Dirac-Ramond operators
Abstract
We derive a cohomological formula for the analytic index of the Dirac-Ramond operator and we exhibit its modular properties.
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