# Heegaard diagrams and homotopy 3-spheres

@inproceedings{Rgo1988HeegaardDA, title={Heegaard diagrams and homotopy 3-spheres}, author={Eduardo Rẽgo and Colin Rourke}, year={1988} }

and suc$ that the set is maximal with respect to properties (1) and (2). [It follows that n is the genus of S and that the result of surgering S along x (i.e. along each xi) is a 2-sphere.] Given (S, x), where x is a CS on S, we can construct a solid handle body T(x) as follows: glue a (thickened) 2-disc to S along each xi, thereby “realizing” the surgery of S along x, and then glue in a 3-ball to the 2-sphere which results from this surgery:

#### Citations

##### Publications citing this paper.

SHOWING 1-4 OF 4 CITATIONS

## A program to search for homotopy 3 { spheresMichael

VIEW 4 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Heegaard Diagrams of $S^3$ and the Andrews-Curtis Conjecture

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-5 OF 5 REFERENCES

## A new proof that R, =O

## Various aspects of the 3-dimensional Polncart problem. Topc~lo<q~~ q/ Mtrui/o/ds (Edited

VIEW 3 EXCERPTS