An operad from the secondary polytope

2015/05/29 by Lev Soukhanov, Soukhanov, Lev
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1505.08157

openalex publication_date 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the enumerative geometry of orbits of multidimensional toric action on projective algebraic varieties and develop a new cyclic differential-graded operad, conjecturally governing the real version of the enumerative geometry of these toric orbits.

Citations

• A virtual fundamental class construction for the moduli space of torus equivariant morphisms

Related

• A dual polytope from the SYZ construction
• Combinatorics and Quotients of Toric Varieties
• Operades differentielles graduees sur les simplexes et les permutoedres
• Higher dimensional operads
• Toric varieties admitting an action of a unipotent group with a finite number of orbits