Abstract
We investigate a new topological invariant of the punctured plane using a Hamiltonian approach. The Hamiltonian is built out of topological invariants available on the punctured plane. On the other hand it is shown that the model is a generalized version, using the appropriate language of homotopy, of the superconformal quantum mechanics (gauge approach) recently proposed by L. Baulieuet al. This relationship allows a better understanding of the structure and results of the gauge approach and makes possible a proper identification of the topological invariants which emerge from it.
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Mekhfi, M. Invariants of topological quantum mechanics. Int J Theor Phys 35, 1709–1718 (1996). https://doi.org/10.1007/BF02302264
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DOI: https://doi.org/10.1007/BF02302264