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Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
We present new rectangular mixed nite elements for linear elasticity.The approach is based on a modi cation of the Hellinger-Reissner functional in which the symmetry of the stress eld is enforced w...
The purpose of this publication is to derive and discuss equations of mo-tion of affinely rigid (homogeneously deformable) body moving in Eu-clidean space of general dimension n. Our aim is to present...
A partly original description of gauge fields and electroweak geometry is proposed. A discussion of the breaking of conformal symmetry and the nature of the dilaton in the proposed setting indicates t...
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = 􀀀iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...
We outline work in progress suggesting an algebro-geometric version of the Strominger-Yau-Zaslow conjecture. We define the notion of a toric degeneration, a special case of a maximally unipotent degen...
Talk given at Harvard, January 1999, published in the Proceedings of the Harvard Winter School on mirror symmetry, vector bundles and lagrangian cycles, 1999, International Press. Surveys the joint wo...
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-...

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