An Extension of Heron's Formula
This paper introduces an extension of Heron's formula to approximate area of cyclic n-gons where the error never exceeds $\fracπ{e}-1$
math.MG↗
arXiv subjects
Zohreh Shahbazi
Publications and source records attributed to Zohreh Shahbazi.
Pre-quantization of Quasi-Hamiltonian Spaces
This paper develops the pre-quantization of Lie group-valued moment maps, and establishes its equivalence with the pre-quantization of infinite-dimensional Hamiltonian loop group spaces.
math.SG↗
Relative Gerbes
This paper introduces the notion of ``relative gerbes'' for smooth maps of manifolds, and discusses their differential geometry. The equivalence classes of relative gerbes are further classified by the relative integral cohomology in degree three.
math.SG↗
Differential Geometry of Relative Gerbes
This thesis introduces the notion of "relative gerbes" for smooth maps of manifolds, and discusses their differential geometry. The equivalence classes of relative gerbes are classified by the relative integral cohomology in degree three. Furthermore, by using the concept of relative gerbes, the pre-quantization of Lie group-valued moment maps is developed, and its equivalence with the pre-quantization of infinite-dimensional Hamiltonian loop group spaces is established.
math.DG↗