Fetching the paper…
Reading the bibliography…
We compute the Moore-Witten regularized u-plane integral on CP^1 x CP^1 directly in a chamber where the elliptic unfolding technique fails to work.
M. Abramowitz, I. Stegun , Handbook of mathematical functions with formulas, graphs, and mathematical tables. National Bureau of Standards Applied Mathematics Series, 55 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 1964
1964
Earlier work this paper cites.
D. Zagier , Nombres de classes et formes modulaires de poids 3/2, C. R. Acad. Sci. Paris Sér. 281A
1975
Earlier work this paper cites.
F. Hirzebruch, D. Zagier, Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, Invent. Math. 36
1976
Earlier work this paper cites.
E. Witten Topological quantum field theory, Comm. Math. Phys. 117
1988
Earlier work this paper cites.
D. Kotschick , SO ( 3 ) \mathrm{SO}(3) -invariants for 4-manifolds with b + = 1 b^{+}=1 , Proc. London Math. Soc. (3) 63
1991
Earlier work this paper cites.
D. Kotschick, J. Morgan , SO ( 3 ) \mathrm{SO}(3) -invariants for 4-manifolds with b + = 1 b^{+}=1 II, J. Differential Geom. 39
1994
Earlier work this paper cites.
P. Kronheimer, T. Mrowka , The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1
1994
Earlier work this paper cites.
N. Seiberg, E. Witten , Electric-magnetic duality, monopole condensation, and confinement in N = 2 N=2 supersymmetric Yang-Mills theory, Nuclear Phys. B 426
1994
Earlier work this paper cites.
N. Seiberg, E. Witten , Monopoles, duality and chiral symmetry breaking in N = 2 N=2 supersymmetric QCD, Nuclear Phys. B 431
1994
Earlier work this paper cites.
E. Witten Monopoles and four-manifolds, Math. Res. Lett. 1
1994
Earlier work this paper cites.
D. Kotschick, P. Lisca , Instanton invariants of ℂ P 2 \mathbb{C}\mathrm{P}^{2} via topology, Math. Ann. 303
1995
Cited alongside, same era.
E. Witten , On S S -duality in Abelian gauge theory, Selecta Math. 1
1995
Cited alongside, same era.
R. Fintushel, R. Stern , The blowup formula for Donaldson invariants, Ann. of Math. (2) 143
1996
Cited alongside, same era.
L. Göttsche , Modular forms and Donaldson invariants for 4 4 -manifolds with b + = 1 b_{+}=1 , J. Amer. Math. Soc. 9
1996
Cited alongside, same era.
G. Moore, E. Witten , Integration over the u u -plane in Donaldson theory, Adv. Theor. Math. Phys. 1
1997
Cited alongside, same era.
G. Ellingsrud, L. Göttsche , Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces, Quart. J. Math. Oxford Ser.(2) 49
J. Labastida, C. Lozano , Duality in twisted 𝒩 = 4 \mathcal{N}=4 supersymmetric gauge theories in four dimensions, Nuclear Phys. B 537
1999
Later among the works it cites.
L. Göttsche , Donaldson invariants in Algebraic Geometry, School on Algebraic Geometry (Trieste, 1999), pages 101-134, ICTP Lect. Notes, 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000
2000
Later among the works it cites.
C. Lozano, M. Mariño , Donaldson invariants on product ruled surfaces and two-dimensional gauge theories, Commun. Math. Phys. 220
2001
Later among the works it cites.
S. P. Zwegers , Mock theta functions, Ph.D. Thesis, Universiteit Utrecht, 2002
2002
Later among the works it cites.
A. Malmendier , Expressions for the generating function of the Donaldson invariants for ℂ P 2 \mathbb{C}\mathrm{P}^{2} , Ph.D. Thesis, MIT, 2007
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1998
Cited alongside, same era.
L. Göttsche, D. Zagier , Jacobi forms and the structure of Donaldson invariants for 4 4 -manifolds with b + = 1 b_{+}=1 , Selecta Math. 4
1998
Cited alongside, same era.
T. Leness , Blow-up formulae for SO ( 3 ) {\rm SO}(3) -Donaldson polynomials, Math. Z. 227
1998
Cited alongside, same era.
M. Mariño, G. Moore , Integrating over the Coulomb branch in 𝒩 = 2 \mathcal{N}=2 gauge theory, Strings ’97 (Amsterdam, 1997). Nuclear Phys. B Proc. Suppl. 68
1998
Cited alongside, same era.
Cited in the paper.
2007
Later among the works it cites.
L. Göttsche, H. Nakajima, K. Yoshioka , Instanton counting and Donaldson invariants, J. Differential Geom. 80
2008
Later among the works it cites.
K. Ono , The Last Words of a Genius, Notices Amer. Math. Soc. 57
2010
Closest in time.
D. Zagier , Ramanujan’s mock theta functions and their applications [d’après Zwegers and Bringmann-Ono], Sém. Bourbaki, Vol. 2007/2008. Astérisque No. 326 (2009), Exp. No. 986, viiÐviii, 143Ð164 (2010)
2010
Closest in time.
2011
Closest in time.