Extensions of topological quantum field theories by means of categorification of geometric quantization

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(i) Developing my results so far, I got a finite-dimensional realization of equivariant twisted K-cohomology theory. In particular, this realization allows that by using actions of Clifford algebras. (ii) I constructed a basis of the ring of universal characteristic classes for twisted K-theory of certain type. By means of this basis, I gave a new lift to twisted de Rham cohomology. (iii) I proved that an operation defined by the product in differential K-theory factors through a single delooping of an Adams operation.