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The index of harmonic maps from surfaces to complex projective spaces

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We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective… Click to show full abstract

We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and torus, and in some cases from higher genus surfaces.

Keywords: harmonic maps; maps surfaces; surfaces complex; complex projective; index harmonic

Journal Title: International Journal of Mathematics
Year Published: 2020

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