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Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Zvonkine, Dimitri

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Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class
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CC Attribution 3.0 Unported:
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We call generalized Airy functions particular solutions of the differential equations f(n)(x)=xaf(x). We show that asymptotic expansions of generalized Airy functions contain coefficients of Givental's R-matrices both for Gromov-Witten invariants of projective spaces and for Witten's r-spin classes. Joint work with Sybille Rosset.