4 papers
Topology of the orbit space of a maximal torus action on
Shahryar Ghaed Sharaf
In this work, we take a topological approach and introduce a homotopy model of the orbit space of a maximal torus action on . Using this homot…
A Decomposition Theorem for Topological Branched Coverings
Shahryar Ghaed Sharaf
In the context of complex algebraic varieties, the decomposition theorem for semi-small maps provides a decomposition of the direct image of the constant sheaf. In this work, we de…
Link Bundles of Compact Toric Varieties of Real Dimension 8
Shahryar Ghaed Sharaf
The main goal of this work is to determine the Betti numbers of the links of isolated singularities in a compact toric variety of real dimension 8, using the CW-structure of the li…
Link Bundles and Intersection Spaces of Complex Toric Varieties
Markus Banagl, Shahryar Ghaed Sharaf
There exist several homology theories for singular spaces that satisfy generalized Poincaré duality, including Goresky-MacPherson's intersection homology, Cheeger's cohomolo…