Equivariant quantum cohomology of cotangent bundle of G/P

Let G denote a complex semisimple linear algebraic group, P a parabolic subgroup of G and P=G/P. We identify the quantum multiplication by divisors in T⁎P in terms of stable basis, which is introduced in [9]. Using this and the restriction formula for stable basis [17], we show that the G×C⁎-equivar...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2016-02, Vol.289, p.362-383
Main Author: Su, Changjian
Format: Article
Language:English
Subjects:
Quantum multiplication
Stable basis
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Summary:Let G denote a complex semisimple linear algebraic group, P a parabolic subgroup of G and P=G/P. We identify the quantum multiplication by divisors in T⁎P in terms of stable basis, which is introduced in [9]. Using this and the restriction formula for stable basis [17], we show that the G×C⁎-equivariant quantum multiplication formula in T⁎P is conjugate to the formula conjectured by Braverman.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2015.11.026