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math.GT2016★ 1 cited
Harmonic volume and its applications
Yuuki Tadokoro
The period is a classical complex analytic invariant for a compact Riemann surface defined by integration of differential 1-forms. It has a strong relationship with the complex str…
hep-th2016
Nonlinear sigma model in discrete complex analysis
Masaru Kamata, Masayoshi Sekiguchi, Yuuki Tadokoro
We present a discrete version of the two-dimensional nonlinear sigma model examined by Belavin and Polyakov. We formulate it by means of Mercat's discrete complex analysis a…