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This bachelor thesis shows that two 2n-simplices Δ, Δ' are equal up affine symplectomorphism if and only if the symplectic areas of their 2-dimensional subsimplices coincide.

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Symplectic classification of simplices

My bachelor thesis in mathematics supervised by professor Cieliebak at the University of Augsburg.

Mapping between two 4-simplices

Abstract

This bachelor thesis shows that two 2n-simplices Δ, Δ' are equal up affine symplectomorphism if and only if the symplectic areas of their 2-dimensional subsimplices coincide. This is a generalization of [CH14] which gave this result for n = 2.

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latexmk -pdf -bibtex SymplecticSimplices.tex

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This bachelor thesis shows that two 2n-simplices Δ, Δ' are equal up affine symplectomorphism if and only if the symplectic areas of their 2-dimensional subsimplices coincide.

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