Recurrence relations and asymptotics for four-manifold invariants

Peter B. Kronheimer; Tomasz S. Mrowka

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arXiv · math/9404232

Recurrence relations and asymptotics for four-manifold invariants

Peter B. Kronheimer·Tomasz S. Mrowka

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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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Peter B. Kronheimer, Tomasz S. Mrowka. 1994-04-01. Recurrence relations and asymptotics for four-manifold invariants. https://arxiv.org/abs/math/9404232

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