The Lagrangian cobordism group of T²
classification
🧮 math.SG
keywords
groupcobordismlagrangiantoruscategorycomputederivedfukaya
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We compute the Lagrangian cobordism group of the standard symplectic 2-torus and prove that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror symmetry for the 2-torus.
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