Bivariant theory is a unified framework for cohomology and Borel–Moore homology theories. In this paper, we extract an ∞ $\infty$ -enhanced bivariant from Gaitsgory–Rozenblyum's six functor formalism.

Canonical quantization of gravitational systems is obstructed by the problem time. Due to diffeomorphism symmetry Hamiltonian vanishes: dynamics with respect a background time parameter appears "frozen." Two strategies towards such are identification clock degree freedom before (deparametrization), and on kinematical Hilbert space which subject constraints (Dirac quantization). The usual canoni...

in this research, structural and electronic properties of zncdn-1ten clusters (n=1-10) have been studied by formalism of density functional theory and using the projector augmented wave within local density approximation. the structural properties (such as bond length/angle and coordination number), electronic and optical properties (such as binding energy, kohn-sham spectrum and partial charge...

This paper places Julian Schwinger’s development of the Euclidean Green’s function formalism for quantum field theory in historical context. It traces the techniques employed in the formalism back to Schwinger’s work on waveguides during World War II, and his subsequent formulation of the Minkowski space Green’s function formalism for quantum field theory in 1951. Particular attention is dedica...

Recently, multi-graviton theory on a simple closed circuit graph corresponding to the S compactification of the Kaluza-Klein (KK) theory has been considered. In the present paper, we extend this theory to that on a general graph and study what modes of particles are included. Furthermore, we generalize it in a possible non-linear theory based on the vierbein formalism and study cosmological sol...