arXiv:1109.0955 Survey of mathematical foundations of QFT and perturbative string theory from arXiv Front: math.AT by Hisham Sati, Urs Schreiber Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection “Mathematical Foundations of Quantum Field Theory and Perturbative String Theory”.
Takhtajan: Quantum mechanics for mathematicians
Volumes with Deligne, maybe identical to the online seminar notes from fall and spring
nLab on higher cats in QFT
nlab factorization algebra
http://nlab.mathforge.org/nlab/show/FQFT Functorial QFT
http://ncatlab.org/nlab/show/HQFT
http://ncatlab.org/nlab/show/sigma-model
http://www.ncatlab.org/nlab/show/partition+function
Teleman, Cohen, Blumberg on Open-closed field theories, Hochschild homology, and much more: http://arxiv.org/abs/0906.5198
nLab page on Quantum Field Theory