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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.

168,695 papers · 148 categories

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0111 · Mar 201719922001200920172026
3 results for “ETQFTs”
Extended TQFTs From Non-Semisimple Modular Categoriesmath.GT

ETQFTs created from non-semisimple modular categories.

problem Constructing ETQFTs from non-semisimple modular categories.
method Explicitly identify linear categories and functors in the image of ETQFTs constructed from modular categories.
result The circle category of ETQFTs is equivalent to the full subcategory of projective objects of the underlying modular category, which need not be semisimple.
ETQFTsmodular categoriesnon-semisimpleprojective objectstopological quantum field theories
2021-03-08abs ↗pdf ↗
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 sl(m∣n)\mathfrak{sl}(m|n), considering quotients, and conjecturing generalizations.
result Quotients of perturbative modules over quantum sl(m∣n)\mathfrak{sl}(m|n) lead to 3-manifold invariants and ETQFTs.
Lie superalgebras3-manifoldsETQFTsm-tracesquotients
2020-10-26abs ↗pdf ↗
Non-Semisimple Extended Topological Quantum Field Theoriesmath.GT

We develop the general theory for the construction of Extended Topological Quantum Field Theories (ETQFTs) associated with the Costantino-Geer-Patureau quantum invariants of closed 3-manifolds. In order to do so, we introduce relative modular categories, a class of ribbon categories which are modeled on representations…

2017-03-22abs ↗pdf ↗