The equivalence between Feynman transform and Verdier duality

DOI10.1007/s40062-021-00286-4zbMath1480.18016arXiv1610.09439OpenAlexW3184071274MaRDI QIDQ2230807

Yanyan Li

Publication date: 28 September 2021

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09439

zbMATH Keywords

stable graphsVerdier dualityconstructible sheavesmodular operadsFeynman transform

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Monoidal categories, symmetric monoidal categories (18M05) Bimonoidal, skew-monoidal, duoidal categories (18M50)

Cites Work

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• Decorated Feynman categories
• Operadic categories and duoidal Deligne's conjecture
• Graph homology: Koszul and Verdier duality
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• Moduli spaces and formal operads
• Homotopy theory for algebras over polynomial monads
• The moduli space of a punctured surface and perturbative series
• Modular operads
• Constructible Sheaves
• Regular patterns, substitudes, Feynman categories and operads
• Feynman Categories
• A Koszul duality for props
• Modular Operads and Batalin-Vilkovisky Geometry

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