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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.

169,341 papers · 148 categories

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0111 · Jul 201519922001200920182026
2 results for “flag-likeness”
A general state-sum construction of 2-dimensional topological quantum field theories with defectsmath.QA

This research extends TQFTs to include defects using state-sum construction.

problem Extending topological quantum field theories to include defects.
method General state-sum construction with extended Pachner moves, requiring flag-likeness of triangulations.
result Derivation of equations and string diagrams for 2D TQFTs with defects.
topological quantum field theorydefectsstate-sum constructionPachner movesflag-likeness
2016-02-25abs ↗pdf ↗
On 2-Dimensional Dijkgraaf-Witten Theory with Defectsmath.QA

In this paper, we provide a construction of a state-sum model for finite gauge-group Dijkgraaf-Witten theory on surfaces with codimension 1 defects. The construction requires not only that the triangulation be subordinate to the filtration, but flag-like: each simplex of the triangulation is either disjoint from the de…

2015-07-03abs ↗pdf ↗