57 citations · 359 across the 40 of their papers we have counts for
7 papers · 1 filter
From the signature theorem to anomaly cancellation
Andreas Malmendier, Michael T. Schultz
We survey the Hirzebruch signature theorem as a special case of the Atiyah-Singer index theorem. The family version of the Atiyah-Singer index theorem in the form of the Riemann-Ro…
SU(2)-Donaldson invariants of the complex projective plane
Michael Griffin, Andreas Malmendier, Ken Ono
There are two families of Donaldson invariants for the complex projective plane, corresponding to the SU(2)-gauge theory and the SO(3)-gauge theory with non-trivial Stiefel-Whitney…
Moonshine and Donaldson invariants of CP^2
Andreas Malmendier, Ken Ono
Eguchi, Ooguri, and Tachikawa recently conjectured a new moonshine phenomenon. They conjecture that the coefficients of a certain mock modular form H(tau), which arises from the K3…
Donaldson invariants of CP^1 x CP^1 and Mock Theta Functions
Andreas Malmendier
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. This allows us to determine expl…
SO(3)-Donaldson invariants of CP^2 and Mock Theta Functions
Andreas Malmendier, Ken Ono
We compute the Moore-Witten regularized u-plane integral on CP^2, and we confirm their conjecture that it is the generating function for the SO(3)-Donaldson invariants of CP^2. We…
The signature of the Seiberg-Witten surface
Andreas Malmendier
The Seiberg-Witten family of elliptic curves defines a Jacobian rational elliptic surface over . We show that for the -operator along t…
The eigenvalue equation on the Eguchi-Hanson space
Andreas Malmendier
We consider the eigenvalue equation for the Laplace-Beltrami operator acting on scalar functions on the non-compact Eguchi-Hanson space. The corresponding differential equation is…