A mirror construction for the totally nonnegative part of the Peterson variety

Details A mirror construction for the totally nonnegative part of the Peterson variety A mirror construction for the totally nonnegative part of the Peterson variety

2006-04-07

arxiv.org/abs/math/0604170v3

Nagoya Mathematical Journal, Vol 183, special volume in honour of Professor George Lusztig (2006), pp. 105-142

Mathematics

Algebraic Geometry

Now published, corrected minor typo in the introduction. An early version appeared as ESI preprint 1674; 27 pages, 2 figures

Scientific paper

We explain how A. Givental's mirror symmetric family to the type A flag
variety and its proposed generalization to partial flag varieties by Batyrev,
Ciocan-Fontanine, Kim and van Straten relate to the Peterson variety Y in
SL_n/B. We then use this theory to describe the totally nonnegative part of Y.

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