A Danilov-type formula for toric origami manifolds via localization of index
Hajime Fujita
TL;DR
This paper provides a geometric proof of a Danilov-type formula for toric origami manifolds, utilizing localization techniques of the Riemann-Roch number to establish the result.
Contribution
It introduces a direct geometric proof of the Danilov-type formula specifically for toric origami manifolds, expanding the understanding of their index localization.
Findings
Established a geometric proof of the Danilov-type formula
Applied localization of Riemann-Roch number to toric origami manifolds
Enhanced the theoretical framework for analyzing toric origami structures
Abstract
We give a direct geometric proof of a Danilov-type formula for toric origami manifolds by using the localization of Riemann-Roch number.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Geometric and Algebraic Topology