No book-length manuscript, however, has yet been published in English devoted to applying Lacan’s topological approach. This aspect of his work runs throughout his entire official teaching (1951–1981). Whereas during the 1950s and 1960s he developed the topology of surfaces (torus, Möbius strip, Klein bottle, cross-cap), from 1972 on he was to develop the topology of knots (Borromean, le sinthome). Indeed, his use of certain topological1 forms, and the logic that explains how they function, are inseparable from his theoretical development of two meaning systems: the one of representations and the other, of a jouissance system of libidinal meaning that materializes language by placing desire, fantasy, and the (partial) drives in it.
—Lacan: Topologically Speaking (Lacanian Clinical Field),ed. Ellie Ragland & Dragan Milovanovic, 2004