Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors

Abstract

This is the third 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 III), we introduce and study intertwining maps and tensor product bifunctors.

Part III of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 38 pages. Right exactness result added; minor changes