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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We study the equivariant Gromov-Witten theory of $\PP^{r-1}$ for all $r\ge 2$. We prove a polynomiality property in $r$ of the Gromov-Witten classes of $\PP^{r-1}$. Using this polynomiality property, we define a set of polynomial valued classes in $H^*(\overline{M}_{g,n})$ which generalize the limit of Witten's $s$-spin classes studied by Pandharipande, Pixton and Zvonkine.
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참고문헌 (13)
참고문헌 신청
C. Faber / 2013 / Handbook of moduli. Vol. I / Int. Press :293~330
Alexander Givental / 1996 / Equivariant Gromov-Witten invariants / International Mathematics Research Notices 1996(13):613~663
A. Givental / 2001 / Gromov-Witten Invariants and Quantization of Quadratic Hamiltonians / Moscow Mathematical Journal 1(4):551~568
Alexander Givental / 2001 / Semisimple Frobenius structures at higher genus / International Mathematics Research Notices 2001(23):1265~1286
T. Graber / 1999 / Localization of virtual classes / Inventiones Mathematicae 135(2):487~518
Alexander Givental / 1996 / Equivariant Gromov-Witten invariants / International Mathematics Research Notices 1996(13):613~663
A. Givental / 2001 / Gromov-Witten Invariants and Quantization of Quadratic Hamiltonians / Moscow Mathematical Journal 1(4):551~568
Alexander Givental / 2001 / Semisimple Frobenius structures at higher genus / International Mathematics Research Notices 2001(23):1265~1286
T. Graber / 1999 / Localization of virtual classes / Inventiones Mathematicae 135(2):487~518
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