Abstract
In Chapters 1 and 3, the moduli spaces K(n), n ∈ ℕ, and the sewing operation are denned and studied. In this chapter we study the sequence
from the viewpoint of the theory of operads. For a brief introduction to the basic notions in the theory of operads and partial operads, see Appendix C and the references there. We show that K has a natural structure of an analytic associative ℂ×-rescalable partial operad (see Appendix C for the definition). The most natural analytic structures on K(n), n ∈ ℕ, are structures of (LB)-manifolds denned in Appendix B. The partial operad K is called the “sphere partial operad.”
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© 1997 Birkhäuser
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Huang, YZ. (1997). Vertex partial operads. In: Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Progress in Mathematics, vol 148. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4276-5_7
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DOI: https://doi.org/10.1007/978-1-4612-4276-5_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8720-9
Online ISBN: 978-1-4612-4276-5
eBook Packages: Springer Book Archive