In the present review we provide an extensive analysis of intertwinement between Feynman integrals and cohomology theories in light recent developments. enter several perturbative methods for solving non-linear PDE, starting from Quantum Field Theories including General Relativity Condensed Matter Physics. Precision calculations involve loop onec strategy to address, which is bring them back te...

the adsorptive behavior of the immunosuppressive agent tacrolimus was studied by cyclic and differential-pulse voltammetry on a hanging mercury drop electrode (hmde). the drug was accumulated at hmde and two well-defined peak currents were obtained at -1353 and -1417 mv vs . sce (saturated kcl) in borate buffer (ph 10.0) + 0.1 kcl solution. a voltammetric procedure was developed for the determi...

A frequently studied problem of geometric singular perturbation theory consists in establishing the presence of trajectories of certain types (homoclinic, heteroclinic, satisfying given boundary conditions, etc.) approximating singular ones for the unperturbed problem. A useful tool for this problem has been established in Jones et al. [2] and called “Exchange Lemma” by the authors. It resemble...

We remind the main facts about the odd Laplacian acting on half-densities on an odd symplectic manifold and discuss a homological interpretation for it suggested recently by P. Ševera. We study relations of odd symplectic geometry with classical objects. We show that the Berezinian of a canonical transformation for an odd symplectic form is a polynomial in matrix entries and a complete square. ...