The Lagrangian cobordism group of $$T^2$$.
- Resource Type
- Article
- Authors
- Haug, Luis
- Source
- Selecta Mathematica, New Series. Jul2015, Vol. 21 Issue 3, p1021-1069. 49p.
- Subject
- *LAGRANGIAN functions
*COBORDISM theory
*SYMPLECTIC geometry
*GROTHENDIECK groups
*HOMOLOGICAL algebra
- Language
- ISSN
- 1022-1824
We compute the Lagrangian cobordism group of the standard symplectic 2-torus and show that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror symmetry for the 2-torus. [ABSTRACT FROM AUTHOR]