# Equivariant Brill-Noether theory for elliptic operators and super-rigidity of $J$-holomorphic maps

@article{Doan2020EquivariantBT, title={Equivariant Brill-Noether theory for elliptic operators and super-rigidity of \$J\$-holomorphic maps}, author={Aleksander Doan and Thomas Walpuski}, journal={arXiv: Differential Geometry}, year={2020} }

The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the intersections of concrete families of elliptic operators with these submanifolds: are the intersections non-empty? are they smooth? what are their codimensions? The purpose of this article is to develop tools to address these questions in equivariant situations. An important motivation for this work are transversality…

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