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	Virasoro constraints and polynomial recursion for the linear Hodge integrals
	Guo, Shuai ; Wang, Gehao
	2017
关键词	Virasoro constraints Hodge integral Polynomial recursion formula FORMULA
英文摘要	The Hodge tau-function is a generating function for the linear Hodge integrals. It is also a tau-function of the KP hierarchy. In this paper, we first present the Virasoro constraints for the Hodge tau-function in the explicit form of the Virasoro equations. The expression of our Virasoro constraints is simply a linear combination of the Virasoro operators, where the coefficients are restored from a power series for the Lambert W function. Then, using this result, we deduce a simple version of the Virasoro constraints for the linear Hodge partition function, where the coefficients are restored from the Gamma function. Finally, we establish the equivalence relation between the Virasoro constraints and polynomial recursion formula for the linear Hodge integrals.; SCI(E); ARTICLE; 4; 757-791; 107
语种	英语
出处	SCI
出版者	LETTERS IN MATHEMATICAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/474363]
专题	数学科学学院
推荐引用方式 GB/T 7714	Guo, Shuai,Wang, Gehao. Virasoro constraints and polynomial recursion for the linear Hodge integrals. 2017-01-01.

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