# Symmetry Breaking and Link Homologies I

@inproceedings{Kitchloo2019SymmetryBA, title={Symmetry Breaking and Link Homologies I}, author={Nitu Kitchloo}, year={2019} }

Given a compact connected Lie group G endowed with root datum, and an element w in the corresponding Artin braid group for G, we describe a filtered G-equivariant stable homotopy type, up to a notion of quasi-equivalence. We call this homotopy type Strict Broken Symmetries, sBSy(w). As the name suggests, sBSy(w) is constructed from the stack of pincipal G-connections on a circle, whose holonomy is broken between consecutive sectors in a manner prescribed by a presentation of w. We show that…

## One Citation

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