The Lagrangian cobordism group of $T^2$
Symplectic Geometry
2015-07-21 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1310.8056,
title = {The Lagrangian cobordism group of $T^2$},
author = {Luis Haug},
journal= {arXiv preprint arXiv:1310.8056},
year = {2015}
}
Comments
43 pages, 12 figures. V2: Result of computation of the cobordism group reformulated; further minor changes and corrections. V3: Updated such as to agree with accepted version. To appear in Selecta Mathematica