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On the morphism of Duflo–Kirillov type

✍ Scribed by Takuro Mochizuki

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
300 KB
Volume
41
Category
Article
ISSN
0393-0440

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✦ Synopsis

We give the detailed proofs of some of Kontsevich's claims in the paper "Deformation Quantization of Poisson Manifolds I", i.e., we prove the compatibility of the two cup products, and prove two conjectures by using the formalism of the proof of Kontsevich's proof of his Formality theorem; the conjecture of Raïs, Kashiwara and Vergne and the conjecture of Bar-Natan, Garoufalidis, Rozansky and Thurston. Moreover, we calculate how the signatures appear.

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✍ Serafino Cicerone; Francesco Parisi-Presicce 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 695 KB

The existence and the construction of a specification morphism between two algebraic specifications is a crucial step in modular system design and in the reusability of software. The problem of determining the existence of a signature morphism between two algebraic signatures is analyzed and proved