Quantum products for mapping tori and the Atiyah-Floer conjecture

@inproceedings{Salamon1999QuantumPF,
  title={Quantum products for mapping tori and the Atiyah-Floer conjecture},
  author={Dietmar A. Salamon},
  year={1999}
}
in symplectic Floer homology. Both were discovered by Donaldson. They are well defined up to an overall sign. The homomorphism (1) can be interpreted as a relative Donaldson invariant on a 4-manifold with boundary. In other words, this product is obtained by counting anti-self-dual connections over a 4-dimensional cobordism with n+ 1 cylindrical ends corresponding to Yfj . The second homomorphism is obtained by counting pseudo-holomorphic sections of a 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Adiabatic limits of the anti-seld-dual equation

F. G. Handfield
PhD thesis, Austin, Texas • 1998
View 1 Excerpt

Introduction To Symplectic Topology

D. McDuff, D. Salamon
2nd edition, Oxford University Press • 1998

Lectures on Floer homology, Notes for the IAS/Park City

D. A. Salamon
Graduate Summer School on Symplectic Geometry and Topology, • 1997

Symplectic submanifolds and almost complex geometry

S. K. Donaldson
Journal of Differential Geometry 44 • 1996

Lagrangian intersections

D. A. Salamon
3-manifolds with boundary, and the Atiyah-Floer conjecture, in Proceedings of the ICM, Zürich, 1994, Birkhäuser, Basel • 1995

Cauchy-Riemann operators

S. Dostoglou, D. A. Salamon
self-duality, and the spectral flow, in First European Congress of Mathematics, Volume I, Invited Lectures (Part 1), edited by A. Joseph, F. Mignot, F. Murat, B. Prum, R. Rentschler, Birkhäuser Verlag, Progress in Mathematics, Vol. 119 • 1994
View 2 Excerpts

J-holomorphic Curves and Quantum Cohomology

D. McDuff, D. Salamon
University Lecture Series 6, American Mathematical Society, Providence, RI • 1994

Similar Papers

Loading similar papers…