# Virasoro constraints and polynomial recursion for the linear Hodge integrals

@article{Guo2016VirasoroCA, title={Virasoro constraints and polynomial recursion for the linear Hodge integrals}, author={Shuai Guo and Gehao Wang}, journal={Letters in Mathematical Physics}, year={2016}, volume={107}, pages={757-791} }

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…

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