A moduli representation for the classification of twisted tensor products

Elyahu Katz

Vol. 100 (1982), No. 2, 403–416

DOI: 10.2140/pjm.1982.100.403

Abstract

A differential Lie algebra L(B,A) is associated to a differential graded coalgebra B and differential graded algebra A. Taking the quotient of the “integrable” elements I(B,A) of L(B,A)¹ by the action of L(B,A)⁰ via the exponential map exp, we get a moduli space E(B,A) = I(B,A)∕expL(B,A)⁰ which represents the equivalence classes of (B,A) twisted tensor products. For computations we may apply methods of algebraic geometry. This is applied to find an approximation for the cardinality of equivalence classes of Serre fibrations.

Mathematical Subject Classification 2000

Primary: 55R15

Milestones

Received: 19 December 1980

Revised: 16 April 1981

Published: 1 June 1982