I don't have a clue about semiotics, but "The Adjunction Between Syntax and Semantics" [0] gets bandied about a lot in this space. There's also an attempt to use adjunctions to explain "generalization" which might be relevant [1]. Generally, "adjunctions are everywhere".
[0] Technically Galois connection, but that's just a specific kind of adjunction: http://www.logicmatters.net/resources/pdfs/Galois.pdf
[1] http://link.springer.com/article/10.1023%2FA%3A1018963029743...