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Recurrence relations and asymptotics for four-manifold invariants
Author(s):
P. B.
Kronheimer;
T. S.
Mrowka
Journal:
Bull. Amer. Math. Soc.
30
(1994),
215-221.
MSC (2000):
Primary 57R55;
Secondary 14J27, 14J29, 57N13, 57R40, 57R57
MathSciNet review:
1246469
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Abstract:
The polynomial invariants  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  for large d. The relations are proved using moduli spaces of singular instantons.
References:
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00492-6
PII:
S 0273-0979(1994)00492-6
Copyright of article:
Copyright
1994,
American Mathematical Society
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