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0111 · Apr 200819922001200920172026
3 results for Sard-Smale

Study finds isolated SL submanifolds on non-Kähler Calabi-Yau threefolds.

problem Existence of special Lagrangian submanifolds in non-Kähler Calabi-Yau spaces.
method Introduced perturbed special Lagrangian submanifolds and used Sard-Smale technique to prove existence.
result Existence of isolated moduli spaces of perturbed special Lagrangian submanifolds.

The main topic is the development of a Fredholm theory in a new class of spaces called M-polyfolds. In the subsequent Volume II the theory will be generalized to an even larger class of spaces called polyfolds, which can also incorporate local symmetries. The whole package provides a functional analytic framework to de…

2014-07-11abs ↗pdf ↗