S. Merkulov | Searcharxiv

arXiv2008

Total and nuclear photoabsorption cross section of 52Cr in the energy range of 8 - 70 MeV

Total (atomic+nuclear) photoabsorption cross section of $^{52}Cr$ was for the first time measured in the energy range of 8-70 MeV. Experimental data was produced with small statistic and systematic errors. The results deviate from calculations of atomic cross section at photon energies above 40 MeV. Photonuclear cross section in the region of the E1 giant dipole resonance (GDR) clearly exhibits three peaks at 18.9, 20.9 and 23.1 MeV. At higher energies, the measured cross section hints a dip-peak structure at 40-48 MeV.

nucl-ex↗

arXiv2007

Wheeled PROPs, graph complexes and the master equation

We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence operators. We construct a dg free wheeled PROP whose representations are in one-to-one correspondence with formal germs of SP-manifolds, key geometric objects in the theory of Batalin-Vilkovisky quantization. We also construct minimal wheeled resolutions of classical operads Com and Ass as rather non-obvious extensions of Com_infty and Ass_infty, involving, e.g., a mysterious mixture of associahedra with cyclohedra. Finally, we apply the above results to a computation of cohomology of a directed version of Kontsevich's complex of ribbon graphs.

math.AG↗