52 citations · 177 across the 15 of their papers we have counts for
15 papers
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…
Continuity of family of Calderón projections
Bernhelm Booss-Bavnbek, Jian Deng, Yuting Zhou +1
We consider a continuous family of linear elliptic differential operators of arbitrary order over a smooth compact manifold with boundary. Assuming constant dimension of the spaces…
Fredholm Theory for Pseudoholomorphic Curves with Brake Symmetry
Beijia Zhou, Chaofeng Zhu
In this paper we study pseudoholomorphic curves with brake symmetry in symplectization of a closed contact manifold. We introduce the pseudoholomorphic curve with brake symmetry an…
The Hörmander index in the finite-dimensional case
Yuting Zhou, Li Wu, Chaofeng Zhu
In this paper, we calculate Hörmander index in the finite-dimensional case. Then we use the result to give some iteration inequalities, and prove almost existence of mean indices f…
Iteration formulae of the Maslov-type index theory in weak symplectic Hilbert spaces
Li Wu, Chaofeng Zhu
In this paper, we prove a splitting formula for the Maslov-type indices of symplectic paths induced by the splitting of the nullity in weak symplectic Hilbert space. Then we give a…
The Maslov index in symplectic Banach spaces
Bernhelm Booss-Bavnbek, Chaofeng Zhu
We consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying (weak) symplectic structures. Assuming vanishing index, we obtain in…