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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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2 results for “KPMM”

Topological recursion for Gaussian means and cohomological field theoriesmath-ph

The paper connects Gaussian matrix models to cohomological field theories using topological recursion.

problem Understanding Gaussian matrix model means in all genera.

method Explicit relation between Gaussian means and KPMM, topological recursion.

result Coefficients of Gaussian means in all genera are polynomials in special times weighted by ancestor invariants.

Gaussian matrix model cohomological field theory topological recursion KPMM moduli spaces

2015-12-31abs ↗pdf ↗

Models of discretized moduli spaces, cohomological field theories, and Gaussian meanshep-th

We prove combinatorially the explicit relation between genus filtrated $s$ -loop means of the Gaussian matrix model and terms of the genus expansion of the Kontsevich--Penner matrix model (KPMM). The latter is the generating function for volumes of discretized (open) moduli spaces $M_{g,s}^{\mathrm{disc}}$ given by $N_{…

2015-01-23abs ↗pdf ↗