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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 “m-traces”

Relative (pre)-modular categories from special linear Lie superalgebrasmath.GT

The abstract discusses new 3-manifold invariants and ETQFTs from Lie superalgebra representations.

problem Developing new 3-manifold invariants and ETQFTs from Lie superalgebra representations.

method Examining two m-traces in the category of representations over quantum

\mathfrak{sl}(m|n)

, considering quotients, and conjecturing generalizations.

result Quotients of perturbative modules over quantum

\mathfrak{sl}(m|n)

lead to 3-manifold invariants and ETQFTs.

Lie superalgebras 3-manifolds ETQFTs m-traces quotients

2020-10-26abs ↗pdf ↗

Notes on constructions of knots with the same tracemath.GT

Paper explores constructing knots with identical traces using specific operations.

problem Constructing knots with the same trace.

method Explains the operation

(\ast m)

and its relation to dualizable patterns.

result Shows that Teragaito's family of knots can also be explained by

(\ast m)

operation.

knots traces 4-manifolds framing dualizable

2020-10-26abs ↗pdf ↗