Meet homological mirror symmetry
Matthew Robert Ballard
TL;DR
This paper introduces homological mirror symmetry, focusing on basic cases involving genus zero and one curves, and discusses its implications for broader mirror symmetry topics.
Contribution
It provides an accessible overview of homological mirror symmetry, emphasizing simple cases and current research status.
Findings
Homological mirror symmetry applies to genus zero and one curves.
Current research highlights the role of homological mirror symmetry in understanding mirror phenomena.
The paper outlines future directions and broader implications of the field.
Abstract
In this paper, we introduce the interested reader to homological mirror symmetry. After recalling a little background knowledge, we tackle the simplest cases of homological mirror symmetry: curves of genus zero and one. We close by outlining the current state of the field and mentioning what homo- logical mirror symmetry has to say about other aspects of mirror symmetry.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Supramolecular Self-Assembly in Materials · Protein Structure and Dynamics