Recurrence relations and asymptotics for four-manifold invariants
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- by P. B. Kronheimer and T. S. Mrowka PDF
- Bull. Amer. Math. Soc. 30 (1994), 215-221 Request permission
Abstract:
The polynomial invariants ${q_d}$ for a large class of smooth 4-manifolds are shown to satisfy universal relations. The relations reflect the possible genera of embedded surfaces in the 4-manifold and lead to a structure theorem for the polynomials. As an application, one can read off a lower bound for the genera of embedded surfaces from the asymptotics of ${q_d}$ for large d. The relations are proved using moduli spaces of singular instantons.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 30 (1994), 215-221
- MSC (2000): Primary 57R55; Secondary 14J27, 14J29, 57N13, 57R40, 57R57
- DOI: https://doi.org/10.1090/S0273-0979-1994-00492-6
- MathSciNet review: 1246469