Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Lock, Michael T."'
On a Kahler manifold there is a clear connection between the complex geometry and underlying Riemannian geometry. In some ways, this can be used to characterize the Kahler condition. While such a link is not so obvious in the non-Kahler setting, one
Externí odkaz:
http://arxiv.org/abs/1509.00382
The lowest eigenvalue of the Schr\"odinger operator $-\Delta+\mathcal{V}$ on a compact Riemannian manifold without boundary is studied. We focus on the particularly subtle case of a sign changing potential with positive average.
Comment: 11 page
Comment: 11 page
Externí odkaz:
http://arxiv.org/abs/1508.02755
For a Kahler metric, the Riemannian scalar curvature is equal to twice the Chern scalar curvature. The question we address here is whether this equivalence can hold for a non-Kahler Hermitian metric. For such metrics, if they exist, the Chern scala
Externí odkaz:
http://arxiv.org/abs/1505.02726
Autor:
Lock, Michael T., Viaclovsky, Jeff A.
Publikováno v:
Geom. Topol. 20 (2016) 1773-1806
There are three main components to this article: (i) A formula for the eta invariant of the signature complex for any finite subgroup of ${\rm{SO}}(4)$ acting freely on $S^3$ is given. An application of this is a non-existence result for Ricci-flat A
Externí odkaz:
http://arxiv.org/abs/1501.03234
Autor:
Lock, Michael T., Viaclovsky, Jeff A.
There are many known examples of scalar-flat K\"ahler ALE surfaces, all of which have group at infinity either cyclic or contained in ${\rm{SU}}(2)$. The main result in this paper shows that for any non-cyclic finite subgroup $\Gamma \subset {\rm{U}}
Externí odkaz:
http://arxiv.org/abs/1410.6461
We prove that a certain class of ALE spaces always has a Kahler conformal compactification, and moreover provide explicit formulas for the conformal factor and the Kahler potential of said compactification. We then apply this to give a new and simple
Externí odkaz:
http://arxiv.org/abs/1405.4920
Autor:
Lock, Michael T., Viaclovsky, Jeff A.
Recently, Atiyah and LeBrun proved versions of the Gauss-Bonnet and Hirzebruch signature Theorems for metrics with edge-cone singularities in dimension four, which they applied to obtain an inequality of Hitchin-Thorpe type for Einstein edge-cone met
Externí odkaz:
http://arxiv.org/abs/1209.3243
Autor:
Viaclovsky, Jeff A., Lock, Michael T.
An index theorem for the anti-self-dual deformation complex on anti-self-dual orbifolds with cyclic quotient singularities is proved. We present two applications of this theorem. The first is to compute the dimension of the deformation space of the C
Externí odkaz:
http://arxiv.org/abs/1205.4059
The Sarkar-Wang algorithm computes the hat version of the Heegaard Floer homology of a closed oriented three manifold. This paper analyzes the computational complexity of the Sarkar-Wang algorithm; then the algorithm is modified to obtain a better bo
Externí odkaz:
http://arxiv.org/abs/0711.4405
Autor:
Lock, Michael T., Viaclovsky, Jeff A.
Publikováno v:
In Advances in Mathematics 25 November 2013 248:698-716
