Some memos on Stable Symplectic Structured Space

2025/04/14 by Haibara, Eita, Miyano, Shelly · 1 citation
#14A30 #19E99 #53D05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2504.09968

Abstract

In these memos, we define a pregeometry T_\mathbbS ^alg and a geometry G_\mathbbS ^alg which integrate symplectic manifolds with E_∞-ring sheaves, enabling the construction of G_\mathbbS ^alg-schemes as structured ∞-topoi. Our framework and results establish a profound connection between algebraic invariants and homological properties, opening new pathways for exploring symplectic phenomena through the lens of higher category theory and derived geometry.

Citations

• The Stable Symplectic Category and Quantization

Cited by

• Some memos on Stable Symplectic Structured Space II: Symplectic motives

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