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The Hamiltonian analysis for the Euler and Second-Chern classes is performed.We show that, in spite of the fact that the Second-Chern and Euler invariantsgive rise to the same equations of motion, their corresponding symplecticstructures on the phase space are different, therefore, one can expectdifferent quantum formulations. In addition, the symmetries of actions writtenas a BF-like theory that lead to Yang-Mills equations of motion are studied. Aclose relationship with the results obtained in previous works for theSecond-Chern and Euler classes is found.

Hamiltonian analysis for topological and Yang-Mills theories expressed as a constrained BF-like theory