Constructible Sheaves and the Fukaya Category

@inproceedings{Zaslow2006ConstructibleSA,
  title={Constructible Sheaves and the Fukaya Category},
  author={Eric Zaslow},
  year={2006}
}
Let Sh(X) be the triangulated dg category of bounded, constructible complexes of sheaves on a manifold X . Let TwFuk(T X) be the triangulated A∞-category of twisted complexes in the Fukaya category of the cotangent bundle T X . We prove that Sh(X) embeds as an A∞-subcategory of TwFuk(T X). Taking cohomology gives an embedding of the corresponding derived categories. 
Highly Cited
This paper has 22 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 24 references

Zero-loop open strings in the cotangent bundle and Morse homotopy

  • K. Fukaya, Y.-G. Oh
  • Asian. J. Math. 1 (1997) 96–180.
  • 1997
Highly Influential
6 Excerpts

Derived Categories of Toric Varieties

  • A. Bondal
  • seminar at Northwestern University, March, 2006…
  • 2006
Highly Influential
6 Excerpts

Some properties of holomorphic curves in almost complex manifolds

  • J.-C. Sikorav
  • Holomorphic Curves in Symplectic Geometry, Birkh…
  • 1994
Highly Influential
4 Excerpts

Affine Structures and non-Archimedian Analytic Spaces

  • M. Kontsevich, Y. Soibelman
  • math.AG/0406564.
Highly Influential
6 Excerpts

Similar Papers

Loading similar papers…