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Index theory for singular Lagrangian systems and Bessel-type differential operators
Xijun Hu, Alessandro Portaluri, Li Wu
The aim of the present manuscript is to develop an index theory for singular Lagrangian systems, with a particular focus on the important class of singular operators given by Besse…
Index theory for non-compact quantum graphs
Daniele Garrisi, Alessandro Portaluri, Li Wu
We develop an index theory for variational problems on noncompact quantum graphs. The main results are a spectral flow formula, relating the net change of eigenvalues to the Maslov…
The fibered rotation number for ergodic symplectic cocycles and its applications: I. Gap Labelling Theorem
Xianzhe Li, Li Wu
Let be an ergodic topological dynamical system. The fibered rotation number for cocycles in , acting on $ Θ\times \mathbb{R}\mathbb…
A formula of local Maslov index and applications
Li Wu, Chaofeng Zhu
In this paper, we explicitly express the local Maslov index by a Maslov index in finite dimensional case without symplectic reduction. Then we calculate the Maslov index for the pa…