Alladi Ramakrishnan Hall

Mckay correspondence and almost complex structures on quasitoric orbifolds

Saibal Ganguli

IMSc

McKay correspondence relates orbifold cohomology with the coho-
mology of a crepant resolution. This is a phenomenon in algebraic
geometry. It
was proved for toric orbifolds by Batyrev and Dais in the nineties. In
this talk we
present a similar correspondence for omnioriented quasitoric orbifolds.
The inter-
esting feature is how we deal with the absence of an algebraic or analytic
structure.
In a suitable sense, our correspondence is a generalization of the
algebraic one.Further more a necessary and sufficient condition for
existence of torus invaraint Almost complex structures will be stated.