Nitu Kitchloo, Jack Morava
We continue our study of the stable symplectic category that was begun by the first author. In this document we consider a canonical representation of the stable symplectic category and study the Motivic Galois group of monoidal automorphisms of this representation. In particular, we observe that this Galois group contains a natural subgroup isomorphic to the abelian quotient of the Grothendieck--Teichm\"uller group. We also study other related algebraic invariants like the rational Waldhausen K-theory of the E-infinity ring spectrum of coefficients \Omega, of the stable sympelctic category, and its relation to the symplectomorphism group of an object.
View original:
http://arxiv.org/abs/1212.6905
No comments:
Post a Comment