Recurrence relations and asymptotics for four-manifold invariants

Kronheimer, P. B.; Mrowka, T. S.

doi:10.1090/S0273-0979-1994-00492-6

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.

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