Large $N$ phenomena and quantization of the Loday-Quillen-Tsygan theorem
@inproceedings{Ginot2021LargeP, title={Large \$N\$ phenomena and quantization of the Loday-Quillen-Tsygan theorem}, author={Gr{\'e}gory Ginot and Owen Gwilliam and Alastair Hamilton and Mahmoud Zeinalian}, year={2021} }
We offer a new approach to large N limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits BV quantizations in that setting. Matrix integrals offer a key example: we demonstrate how this formalism leads to a recurrence relation that in principle allows us to compute all multi-point correlation functions. We also explain how the Harer-Zagier relations may be expressed in terms of this noncommutative geometry…
One Citation
A homological approach to the Gaussian Unitary Ensemble
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- 2022
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation functions in the GUE…
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