A Connected Sum Formula of Embedded Contact Homology

Explore a 53-minute lecture from the Western Hemisphere Virtual Symplectic Seminar on the connected sum formula of embedded contact homology. Delve into Luya Wang's discussion on the contact connected sum operation for 3-dimensional contact manifolds, examining its representation as a Weinstein 1-handle attachment. Investigate the behavior of pseudo-holomorphic curves in symplectization under this operation and discover the resulting connected sum formula for embedded contact homology. Gain insights into the decomposition of C_0 ⊕ C_h on the tensor product after identification, as addressed in the Q&A session.

Yuan Gao: How does the decomposition into C_0 \oplus C_h look like on the tensor product after identification?