Research
On-device research index

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.

168,657 papers · 148 categories

Trend · papers per month

0111 · Feb 201319922001200920172026
4 results for D-topology

Diffeological spaces are generalizations of smooth manifolds which include singular spaces and function spaces. For each diffeological space, Iglesias-Zemmour introduced a natural topology called the DD-topology. However, the DD-topology has not yet been studied seriously in the existing literature. In this paper, we…

2013-02-12abs ↗pdf ↗

Constructs a path integral for fermionic SPTs, solving anomalies in 2+1D topological orders.

problem Anomalies in (2+1)D fermionic topological phases and their computation.
method Combining (2+1)D fermionic topological order with symmetry fractionalization data to construct a (3+1)D path integral.
result Reproduces the Z16\mathbb{Z}_{16} anomaly indicator for time-reversal symmetric topological superconductors.

Novel M-theory approach classifies topological phases of matter.

problem Classifying and understanding topological phases of matter.
method Establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds, identifying topological phases from internal wrapped 3-manifolds.
result Paves a new route toward the classification of topological phases of matter, including fermionic and non-unitary phases.