Akbar Dehghan Nezhad
School of Mathematics, Iran University of Science and Technology, Narmak,Tehran, 16846--13114, Iran
[ 1 ] - Some aspects of cosheaves on diffeological spaces
We define a notion of cosheaves on diffeological spaces by cosheaves on the site of plots. This provides a framework to describe diffeological objects such as internal tangent bundles, the Poincar'{e} groupoids, and furthermore, homology theories such as cubic homology in diffeology by the language of cosheaves. We show that every cosheaf on a diffeological space induces a cosheaf in terms of t...
[ 2 ] - On the $k$-ary Moment Map
The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment map is defined from G-manifold M to dual Lie algebra of G. We will interested study maps from G-manifold M to spaces that are more general than dual Lie algebra of G. These maps help us to reduce the dimension of a manifold much more.
نویسندگان همکار