The Chen-ruan Orbifold Cohomology of Weighted Projective Spaces
نویسنده
چکیده
Chen and Ruan [6] defined a very interesting cohomology theoryChen-Ruan orbifold cohomology. The primary objective of this paper is to compute the Chen-Ruan orbifold cohomology of the weighted projective spaces, one of the most important space used in physics. The classical tools (orbifold cohomology defined by Chen and Ruan, toric varieties, the localization technique) which have been proved to be successful are used to study the orbifold cohomology of weighted projective spaces. Given a weighted projective space P q0,··· ,qn , we determine all of its the twisted sectors and the corresponding degree shifting numbers, and we calculate the orbifold cohomology group of P q0 ,··· ,qn ; For a general reduced weighted projective space, we give a method to compute its Chen-Ruan orbifold cohomology ring, finally we calculate out the Chen-Ruan orbifold cohomology ring of the weighted projective
منابع مشابه
Chen-ruan Orbifold Cohomology of Weighted Projective Space 1
Chen and Ruan [6] defined a very interesting cohomology theory-Chen-Ruan orbifold cohomology. The primary objective of this paper is to compute the Chen-Ruan orbifold cohomology of weighted projective space, one of the most important space used in physics. The classical tools (orbifold cohomology defined by Chen and Ruan,toric varieties, the localization formula) which have been proved to be su...
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Chen and Ruan [6] defined a very interesting cohomology theoryChen-Ruan orbifold cohomology. The primary objective of this paper is to compute the Chen-Ruan orbifold cohomology of weighted projective space, one of the most important space used in physics. The classical tools (orbifold cohomology defined by Chen and Ruan,toric varieties, the localization formula) which have been proved to be suc...
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