Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

Abstract

This is the fifth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part V), we study products and iterates of intertwining maps and of logarithmic intertwining operators and we begin the development of our analytic approach.

Part V of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 49 pages. Trivial changes, including a piece of notation. Minor changes