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Abstract
Quantum coalgebras are defined and studied. A theory of associated invariants of 1-1 tangles, knots and links is developed. The notion of quantum coalgebra is more general than dual of quantum algebra. Examples of quantum algebras include quasitriangular Hopf algebras and examples of quantum coalgebras include coquasi triangular Hopf algebras.
*Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085
†Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085
*Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085
†Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085
Notes
*Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085
†Research supported in part by NSF Grant DMS 920-5227 ?Research supported in part by NSF Grant DMS 870 1085