Equivariant Cohomology of Moment–Angle Complexes with Respect to Coordinate Subtori

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

Connected Sums of Simplicial Complexes and Equivariant Cohomology

Abstract In this paper, we introduce the notion of a connected sum K1 #Z K2 of simplicial complexes K1 and K2, as well as define a strong connected sum. Geometrically, the connected sum is motivated by Lerman’s symplectic cut applied to a toric orbifold, and algebraically, it is motivated by the connected sum of rings introduced by Ananthnarayan–Avramov–Moore [1]. We show that the Stanley–Reisn...

Equivariant Cohomology with Local Coefficients

We show that for a discrete group G, the equivariant cohomology of a G-space X with G-local coefficients M is isomorphic to the Bredon-Iliman cohomology of X with equivariant local coefficients M.

Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals

This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and the Serre subcategories of the category of modules. We characterize the membership of local cohomology modules in a certain Serre subcategory from lower range or upper range.

Geometric Quantization and Equivariant Cohomology Geometric Quantization and Equivariant Cohomology