Braiding via geometric Lie algebra actions
نویسندگان
چکیده
منابع مشابه
Braiding via Geometric Lie Algebra Actions
We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra. The same proof shows that strong categorical actions in the sense of Khovanov-Lauda and Rouquier also lead to braid group actions. As an example, we construct an action of Artin’s...
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Let M be a smooth manifold, G a geometric structure on M , and G a Lie group that acts on M so as to leave G invariant. In other words, G is a group of isometries of (M,G). The subject of these lectures will be the general interplay between the dynamics of the G-action on M and the geometry of (M,G), as well as how these relate to the topology of M . The case of a semisimple G will be of partic...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2012
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x1100724x