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Normal differential operators and deformation theory

Paul Burchard·Herb Clemens
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Abstract

This paper develops the theory of a sheaf of normal differential operators to a submanifold Y of a complex manifold X as a generalization of the normal bundle. We show that the global sections of this sheaf play an analogous role for formal deformations of Y to the role played by the normal bundle with respect to first-order deformations.

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Paul Burchard, Herb Clemens. 1998-11-30. Normal differential operators and deformation theory. https://arxiv.org/abs/math/9811171

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