  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 derived from the BV
formalism.
  As another application, we consider the problem of quantization in the large
$N$ limit and demonstrate how the Loday-Quillen-Tsygan Theorem leads us to a
solution in terms of noncommutative geometry. These constructions are relevant
to open topological field theories and string field theory, providing a
mechanism that relates moduli of categories of branes to moduli of brane gauge
theories.
