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arXiv · 1811.01888

Narrow quantum D-modules and quantum Serre duality

Mark Shoemaker
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Abstract

Given Y a non-compact manifold or orbifold, we define a natural subspace of the cohomology of Y called the narrow cohomology. We show that despite Y being non-compact, there is a well-defined and non-degenerate pairing on this subspace. The narrow cohomology proves useful for the study of genus zero Gromov-Witten theory. When Y is a smooth complex variety or Deligne-Mumford stack, one can define a quantum D-module on the narrow cohomology of Y. This yields a new formulation of quantum Serre duality.

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Mark Shoemaker. 2018-11-05. Narrow quantum D-modules and quantum Serre duality. https://arxiv.org/abs/1811.01888

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