Permutation-equivariant quantum K-theory III. Lefschetz' formula on M₀,ₙ/Sₙ and adelic characterization

الأصل · EN

We continue our study of the genus-0 permutation-equivariant quantum K-theory of the target X=pt, and completely determine the "big J-function" of this theory. The computation is based on the application of Lefschetz' fixed point formula to the action of Sₙ on M₀,ₙ₊₁. It is an instance of the general "adelic characterization" (which we state at the end with reference to arXiv:1106.3136) of quantum K-theory for any target X in terms of quantum cohomology theory. Yet, some simplifications of non-conceptual nature occur in this example, making it a lucid illustration to the general theory.