Highly Influenced

# Functoriality for Lagrangian correspondences in Floer theory

@inproceedings{Woodward2007FunctorialityFL, title={Functoriality for Lagrangian correspondences in Floer theory}, author={Chris T. Woodward}, year={2007} }

- Published 2007

We generalize Lagrangian Floer theory to sequences of Lagrangian correspondences and establish an isomorphism between the Floer homology groups of sequences that are related by the geometric composition of Lagrangian correspondences. On these Floer homologies, we define relative invariants arising from “quilted pseudoholomorphic surfaces”: Collections of pseudoholomorphic maps to various target spaces with “seam conditions” in Lagrangian correspondences and boundary conditions in Lagrangian… CONTINUE READING

Highly Influential

This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

Highly Cited

This paper has 37 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, and topics from this paper.

26 Citations

45 References

Similar Papers