Bordered Heegaard Floer Homology

Bordered Heegaard Floer Homology

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The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a different

Cornered Heegaard Floer Homology

Cornered Heegaard Floer Homology

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Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, ca

Contact and Symplectic Topology

Contact and Symplectic Topology

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Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties

Holomorphic Curves in Low Dimensions

Holomorphic Curves in Low Dimensions

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This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensio