# Moduli spaces of Hecke modifications for rational and elliptic curves.

@inproceedings{Boozer2018ModuliSO,
title={Moduli spaces of Hecke modifications for rational and elliptic curves.},
author={David Boozer},
year={2018}
}
We propose definitions of complex manifolds ${\cal H}(T^2,n)$ for $n \in \mathbb{N}$ that could potentially be used to construct the symplectic Khovanov homology of $n$-stranded links in lens spaces. The space ${\cal H}(T^2,n)$ is defined in terms of Hecke modifications of rank 2 vector bundles over an elliptic curve. We undertake a detailed study of such Hecke modifications: we show which vector bundles can Hecke modify to which, and in what directions. We also describe explicit morphisms of… CONTINUE READING

## Hecke modifications of Higgs bundles and the extended Bogomolny equation

• 2018

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