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References
Aharonov, Y. and Susskind, L., Observability of the Sign of Spinors under a 2π Rotation, Phys. Rev. 15, 1237-1238 (1967).
Avis, S. J. and Isham, C. J., Generalized Spin Structures and Four Dimensional Space-Times, Commun. Math. Phys. 7, 103-118 (1980).
Been, I. M. and Tucker, R. W., Representing Spinors with Differential Forms, in Trautman, A. and Furlan, G. (eds.), Spinors in Physics and Geometry, World Scientific, Singapore, 1988.
Bismut, J. M., A Local Index Theorem for non Kähler Manifolds, Mat. Ann. 28, 681-699 (1989).
Bleecker, D., Gauge Theory and Variational Principles, Addison-Wesley Publ. Co., Inc., Reading, MA, 1981.
Choquet-Bruhat, Y., DeWitt-Morette, C. and Dillard-Bleick, M., Analysis, Manifolds and Physics (revisited edition), North Holland Publ. Co., Amsterdam, 1982.
Crumeyrolle, A., Orthogonal and Sympletic Clifford Algebras, Kluwer Acad. Publ., Dordrecht, 1990.
Dalakov, P. and Ivanov, S., Harmonic Spinors of the Dirac Operator of Connection with Torsion in Dimension Four, Class. Quant. Grav. 1, 253-263 (2001).
Frankel, T., The Geometry of Physics, Cambridge University Press, Cambridge, 1997.
Friedrich, T., Dirac Operators in Riemannian Geometry, Graduate Studies in Mathematics, 2, Am. Math. Soc., Providence, Rhode Island, 2000.
Geroch, R. Spinor Structure of Space-Times in General Relativity I, J. Math. Phys. , 1739-1744 (1968).
Geroch, R. Spinor Structure of Space-Times in General Relativity. II, J. Math. Phys. 1, 343-348 (1970).
Graf, W., Differential Forms as Spinors, Ann. Inst. Henri Poincaré XXIV, 85-109 (1978).
Kähler, E., Der Innere Differentialkalkül, Rendiconti di Matematica e delle sue Applicazioni 2, 425-523 (1962).
Lawson, H. Blaine, Jr. and Michelson, M. L., Spin Geometry, Princeton University Press, Princeton, 1989.
Lichnerowicz, A., Spineurs Harmoniques, C. R. Acad. Sci. Paris Sér. A 257, 7-9 (1963).
Lounesto, P., Clifford Algebras, Relativity and Quantum Mechanics, in P. Letelier and W. A. Rodrigues Jr. (eds.) Gravitation: The Spacetime Structure, 50–8, World Sci. Publ. Co., Singapore, 1994.
Milnor, J., Spin Structures on Manifolds, L’ Enseignement Mathématique , 198-203 (1963).
Mosna, R. A. and Rodrigues, W. A., Jr., The Bundles of Algebraic and Dirac-Hestenes Spinor Fields, J. Math. Phys. 4, 2945-2966 [math-ph/0212033]
Naber, G. L., Topology, Geometry and Gauge Fields. Interactions, Appl. Math. Sci. 141, Springer-Verlag, New York, 2000.
Nakahara, M., Geometry, Topology and Physics, Institute of Physics Publ., Bristol and Philadelphia, 1990.
Nicolescu, L. I., Notes on Seiberg-Witten Theory, Graduate Studies in Mathematics 28, Am. Math. Soc., Providence, Rohde Island, 2000.
Oliveira, E. Capelas de, and Rodrigues, W. A. Jr., Dotted and Undotted Spinor Fields in General Relativity, Int. J. Mod. Phys. D 13, 1637-1659 (2004).
Osborn, H., Vector Bundles, vol. I, Acad. Press, New York, 1982.
Penrose, R. and Rindler W., Spinors and Spacetime, vol. 1, Cambridge University Press, Cambridge, 1986.
Ramond, P., Field Theory: A Modern Primer, Addison-Wesley Publ. Co., Inc., New York, 1989.
Rodrigues, W. A. Jr., Algebraic and Dirac-Hestenes Spinors and Spinor Fields, J. Math. Physics 45, 2908-2944 (2004). [math-ph/0212030]
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Rodrigues, W.A., de Oliveira, E.C. (2007). Clifford and Dirac-Hestenes Spinor Fields. In: The Many Faces of Maxwell, Dirac and Einstein Equations. Lecture Notes in Physics, vol 722. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71293-0_6
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