An operad from the secondary polytope
Lev Soukhanov
TL;DR
This paper introduces a new cyclic differential-graded operad to explore the enumerative geometry of toric orbits on projective varieties, aiming to understand their structure and symmetries.
Contribution
It develops a novel operad framework conjecturally governing the real enumerative geometry of toric orbits, linking operad theory with algebraic geometry.
Findings
Construction of a new cyclic differential-graded operad
Conjectural connection to real enumerative geometry of toric orbits
Insights into the structure of toric orbit enumerations
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Topics in Algebra · Advanced Algebra and Geometry