We prove that a curious generating series identity implies Faber's intersection number conjecture (by showing it combinatorial already given in (Garcia-Failde, Kramer, Lewański, and Shadrin, SIGMA 15 (2019), 080)) give new proof of by directly proving this identity.

This section of Resonance presents thought-provoking questions, and discusses answers a few months later. Readers are invited to send new solutions old ones comments, ‘Think It Over’, Resonance, Indian Academy Sciences, Bangalore 560 080. Items illustrating ideas concepts will generally be chosen.

We combine lensing, stellar kinematic and mass-to-light ratio constraints to build a twocomponent (luminous plus dark) mass model of the early-type lens galaxy in PG1115+080. We find a total mass density profile steeper than r, effectively ρ ∝ r ′ with γ = 2.35± 0.1± 0.05 (random + systematic). The stellar mass fraction is f∗ = 0.67 +0.20 −0.25 ± 0.03 inside the Einstein Radius (RE≈1.2 effectiv...

We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields. LAPTH-750/99 SPhT-T04/080

We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields. LAPTH-1099/05 SPhT-T04/080

†Instituto de Geociências, Universidade Federal do Pará, Belém, 66075-110, Brazil, [email protected] ‡ Unidade de Negócio de Exploração e Produção da Bahia, Petróleo Brasileiro S.A., Salvador, 41856-900, Brazil, fabrício. gonç[email protected] ‡ Campus Universitário de Marabá, Universidade Federal do Pará, Marabá, 68503-080, Brazil, [email protected] ‡ Centro de Pesquisa da Petrobras, Petróleo Bras...

Implementing a post-implant cardiac resynchronization therapy (CRT) clinic using combined electrophysiology (EP) & heart failure (HF) advanced practice provider (APP) model may improve subspecialty collaboration prevent delays in device medical optimization. Some previously described models evaluate patients 6 months post-procedure. Early follow-up further response. To determine if 1 month inte...