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Physical Sciences and Mathematics Commons

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University of Massachusetts Amherst

Mathematics and Statistics Department Faculty Publication Series

1998

Discipline

Articles 1 - 5 of 5

Full-Text Articles in Physical Sciences and Mathematics

The A-Hypergeometric System Associated With A Monomial Curve, Eduardo Cattani, Carlos D’Andrea, Alicia Dickenstein Sep 1998

The A-Hypergeometric System Associated With A Monomial Curve, Eduardo Cattani, Carlos D’Andrea, Alicia Dickenstein

Mathematics and Statistics Department Faculty Publication Series

No abstract provided.


A Note On The Symplectic Structure On The Space Of G-Monopoles, Michael Finkelberg, Alexander Kuznetsov, Nikita Markarian, Ivan Mirkoviæ Apr 1998

A Note On The Symplectic Structure On The Space Of G-Monopoles, Michael Finkelberg, Alexander Kuznetsov, Nikita Markarian, Ivan Mirkoviæ

Mathematics and Statistics Department Faculty Publication Series

No abstract provided.


Rank 2 Integrable Systems Of Prym Varieties, J. C. Hurtubise, E. Markman Apr 1998

Rank 2 Integrable Systems Of Prym Varieties, J. C. Hurtubise, E. Markman

Mathematics and Statistics Department Faculty Publication Series

No abstract provided.


Semiinfinite Flags. I. Case Of Global Curve P^1., Michael Finkelberg, Ivan Mirkoviæ Mar 1998

Semiinfinite Flags. I. Case Of Global Curve P^1., Michael Finkelberg, Ivan Mirkoviæ

Mathematics and Statistics Department Faculty Publication Series

No abstract provided.


Bonnet Pairs And Isothermic Surfaces, G Kamberov, F Pedit, U Pinkall Jan 1998

Bonnet Pairs And Isothermic Surfaces, G Kamberov, F Pedit, U Pinkall

Mathematics and Statistics Department Faculty Publication Series

In this note we classify all Bonnet pairs on a simply connected domain. Our main intent was to apply what we call a quaternionic function theory to a concrete problem in differential geometry. The ideas are simple: conformal immersions into quaternions or imaginary quaternions take the place of chart maps for a Riemann surface. Starting from a reference immersion we construct all conformal immersions of a given (simply connected) Riemann surface (up to translational periods) by spin transformations. With this viewpoint in mind we discuss how to construct all Bonnet pairs on a simply connected domain from isothermic surfaces and …