Haldane's Fractional Statistics and the Riemann-Roch Theorem
Dingping Li, St\'ephane Ouvry (Dipartimento di Fisica, Universit\'a, di Trento)
TL;DR
This paper explores the connection between Haldane's fractional statistics and the Riemann-Roch theorem, providing a mathematical framework to understand fractional statistics in certain cases.
Contribution
It offers a novel interpretation of Haldane's fractional statistics through the lens of the Riemann-Roch theorem, linking physics and algebraic geometry.
Findings
Fractional statistics can be characterized using the Riemann-Roch theorem in specific scenarios.
The approach bridges concepts from quantum physics and mathematics.
Provides a new perspective on the mathematical structure underlying fractional statistics.
Abstract
The new definition of fractional statistics given by Haldane can be understood in some special cases in terms of the Riemann-Roch theorem.
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