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20092025
most citedA strong stability condition on minimal submanifolds and its implications

6 citations · 8 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.SG2014

Cohomology and Hodge Theory on Symplectic Manifolds: III

Chung-Jun Tsai, Li-Sheng Tseng, Shing-Tung Yau

We introduce filtered cohomologies of differential forms on symplectic manifolds. They generalize and include the cohomologies discussed in Paper I and II as a subset. The filtered…

math.SG2010

Cohomology and Hodge Theory on Symplectic Manifolds: II

Li-Sheng Tseng, Shing-Tung Yau

We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in c…

math.SG2009

Cohomology and Hodge Theory on Symplectic Manifolds: I

Li-Sheng Tseng, Shing-Tung Yau

We introduce new finite-dimensional cohomologies on symplectic manifolds. Each exhibits Lefschetz decomposition and contains a unique harmonic representative within each class. Ass…