Results 11 to 20 of about 182 (87)

Inverted state sums, inverted Habiro series, and indefinite theta functions

, 2021
S. Gukov and C. Manolescu conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series $F_K(x,q)$, which is the knot complement version of the 3-manifold invariant $\hat{Z}$ whose existence was predicted earlier by S. Gukov, P. Putrov and C. Vafa.
openaire   +2 more sources

Orientation reversal and the Chern-Simons natural boundary

Journal of High Energy Physics
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general problem in theoretical and mathematical physics.
Griffen Adams, Ovidiu Costin, Gerald V. Dunne, Sergei Gukov, Oğuz Öner   +4 more
doaj   +1 more source

Black hole quantum mechanics and generalized error functions

Journal of High Energy Physics
In Type II Calabi-Yau string compactifications, S-duality predicts that suitable generating series of BPS indices counting microstates of D4-D2-D0 black holes are in general mock modular forms of higher depth.
Boris Pioline, Rishi Raj
doaj   +1 more source

Indefinite Theta Series on Cones

, 2016
We show that indefinite theta series on cones converge and provide an explicit modular completion. Our completion rests on a convolution of the Gaussian with a piecewise constant function supported on the cone. Our main innovation is to formulate this convolution in terms of euclidean geometry as opposed to hyperbolic geometry.
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A new look at Hecke's indefinite theta series

, 2000
9 pages, AMSLatex, minor ...
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On the convergence of certain indefinite theta series

Acta Arithmetica
1 ...
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Indefinite theta series: the case of an $N$-gon

Pure and Applied Mathematics Quarterly, 2023
Jens Funke, Stephen Kudla
openaire   +3 more sources

Pallidal Recordings in Chronically Implanted Dystonic Patients: Mitigation of Tremor-Related Artifacts. [PDF]

Bioengineering (Basel), 2023
Del Vecchio Del Vecchio J, Hanafi I, Pozzi NG, Capetian P, Isaias IU, Haufe S, Palmisano C.   +6 more
europepmc   +1 more source

Non-invasive vagus nerve stimulation modulates subthalamic beta activity in Parkinson's disease. [PDF]

Brain Stimul, 2022
Torrecillos F, Tan H, Brown P, Capone F, Ricciuti R, Di Lazzaro V, Marano M.   +6 more
europepmc   +1 more source

Imagination as a fundamental function of the hippocampus. [PDF]

Philos Trans R Soc Lond B Biol Sci, 2022
Comrie AE, Frank LM, Kay K.
europepmc   +1 more source