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Quantum Super Theta Vectors and Theta Functions
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There are many concepts aroundclassical theta functions, theta vectors and quantum thetafunctions. Manin clarified the relation among these concepts withthe symmetry of functional equations. We extend his results to thesuper torus.
Abstract
There are many concepts aroundclassical theta functions, theta vectors and quantum thetafunctions. Manin clarified the relation among these concepts withthe symmetry of functional equations. We extend his results to thesuper torus.
참고문헌 (9)
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- Y. Manin, "Functional equations for quantum theta functions", Publ. Res. Inst. Math. Sci. Kyoto, 40(3), pp.605~624 (2004)
- Y. Manin, "Theta functions, quantum tori and Heisenberg Groups", Lett. Math. Phys., 56(3), pp.295~320 (2001)
- D. Mumford, "Tata Lectures on Theta III", Progress in Math., 97 (1991)
- D. Quillen, "Superconnections and the Chern character", Topology, 24(1), pp.89~95 (1985)
- M. Rieffel, "Projective modules over higher dimensional noncommutative tori", Can. J. Math., 40(2), pp.257~338 (1988)
- A. Schwarz, "Theta functions on non-commutative tori", Lett. Math. Phys., 58, pp.81~90 (2001)
관련 논문AI추천
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