Comparing the orthogonal and unitary functor calculi

The orthogonal and unitary calculi give a method to study functors from the category of real or complex inner product spaces based topological spaces. We construct between complexification-realification adjunction These allow for movement versions calculi, comparisons Taylor towers produced by both calculi. show that when inputted functor is weakly polynomial, tower restricted through realification agree up weak equivalence. further lift homotopy level comparison commutative diagram Quillen relating model categories calculus calculus.