Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Seiberg-Witten invariants and branched covers along tori

Author(s): B. Doug Park
Journal: Proc. Amer. Math. Soc. 133 (2005), 2795-2803.
MSC (2000): Primary 57M12, 57R57
Posted: March 22, 2005
MathSciNet review: 2146229
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We compute the Seiberg-Witten invariants of double covers of smooth four-manifolds branched along tori of self-intersection zero.


References:

[FS]
R. Fintushel and R. J. Stern: Rational blowdowns of smooth 4-manifolds, J. Differential Geom. 46 (1997), 181-235. MR 1484044 (98j:57047)

[GS]
R. E. Gompf and A. I. Stipsicz:$4$-Manifolds and Kirby Calculus, Graduate Studies in Mathematics, No. 20, Amer. Math. Soc., 1999. MR 1707327 (2000h:57038)

[H]
F. Hirzebruch: The signature of ramified coverings, in Global Analysis (Papers in Honor of K. Kodaira), pp. 253-265, Univ. Tokyo Press, Tokyo, 1969. MR 0258060 (41:2707)

[MMS]
J. W. Morgan, T. S. Mrowka and Z. Szabó: Product formulas along $T^3$ for Seiberg-Witten invariants, Math. Res. Lett. 4 (1997), 915-929. MR 1492130 (99f:57039)

[OS]
P. Ozsváth and Z. Szabó: Higher type adjunction inequalities in Seiberg-Witten theory, J. Differential Geom. 55 (2000), 385-440. MR 1863729 (2002j:57061)

[P1]
B. D. Park: A product formula for the Seiberg-Witten invariant along certain Seifert fibered manifolds, Asian J. Math. 6 (2002), 37-60. MR 1902646 (2003b:57047)

[P2]
B. D. Park: A gluing formula for the Seiberg-Witten invariant along $T^3$, Michigan Math. J. 50 (2002), 593-611. MR 1935154 (2003i:57051)

[P3]
B. D. Park: Constraints on Alexander polynomials of certain two-component links, Topology Appl. 144 (2004), 161-171. MR 2097134

[RW]
Y. Ruan and S. Wang: Seiberg-Witten invariants and double covers of $4$-manifolds, Comm. Anal. Geom. 8 (2000), 477-515. MR 1775135 (2001h:57039)

[T]
C. H. Taubes: The Seiberg-Witten invariants and $4$-manifolds with essential tori, Geom. Topol. 5 (2001), 441-519. MR 1833751 (2002d:57025)


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 57M12, 57R57

Retrieve articles in all Journals with MSC (2000): 57M12, 57R57


Additional Information:

B. Doug Park
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email: bdpark@math.uwaterloo.ca

DOI: 10.1090/S0002-9939-05-07831-7
PII: S 0002-9939(05)07831-7
Received by editor(s): February 5, 2004
Received by editor(s) in revised form: May 3, 2004
Posted: March 22, 2005
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2005, American Mathematical Society




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia