Quantum Cohomology Rings of Lagrangian and Orthogonal Grassmannians and Total Positivity
نویسنده
چکیده
We verify in an elementary way a result of Peterson for the maximal orthogonal and Lagrangian Grassmannians, and then find Vafa-Intriligator type formulas which compute their 3-point, genus zero Gromov-Witten invariants. Finally we study the total positivity of the related Peterson’s varieties and show that Rietsch’s conjecture about the total positivity holds for these cases.
منابع مشابه
Quantum Cohomology Rings of Lagrangian and Orthogonal Grassmannians and Vafa-intriligator Type Formulas
We verify in an elementary way a result of Peterson for the maximal orthogonal and Lagrangian Grassmannians, and then find Vafa-Intriligator type formulas which compute their 3point, genus zero Gromov-Witten invariants. Additionally, we study total positivity of the related Peterson varieties and investigate its relationship with the positivity of Schubert basis elements.
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تاریخ انتشار 2007