Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Wilkin, Graeme"'
Autor:
Wilkin, Graeme
This paper studies the gradient flow lines for the $L^2$ norm square of the Higgs field defined on the moduli space of semistable rank $2$ Higgs bundles twisted by a line bundle of positive degree over a compact Riemann surface $X$. The main result i
Externí odkaz:
http://arxiv.org/abs/2408.13098
Autor:
Wilkin, Graeme
Convolution in Borel-Moore homology plays an important role in Nakajima's construction of representations of the Heisenberg algebra and of modified enveloping algebras of Kac-Moody algebras. In its most basic form, convolution between two quiver vari
Externí odkaz:
http://arxiv.org/abs/2305.05545
Autor:
Mathai, Varghese, Wilkin, Graeme
Publikováno v:
J. Phys. A 54 (2021), no. 31, 314001, 18 pp
This paper studies the conductance on the universal homology covering space $Z$ of 2D orbifolds in a strong magnetic field, thereby removing the integrality constraint on the magnetic field in earlier works in the literature. We consider a natural La
Externí odkaz:
http://arxiv.org/abs/2004.06666
Autor:
Wilkin, Graeme
This paper extends previous work from arxiv:1702.05223, which shows that the main theorem of Morse theory holds for a large class of functions on singular spaces, where the function and the underlying singular space are required to satisfy the five c
Externí odkaz:
http://arxiv.org/abs/1904.08045
Autor:
Mathai, Varghese, Wilkin, Graeme
Publikováno v:
Lett. Math. Phys., 109, 11, (2019) 2473-2484
This paper studies both the conductance and charge transport on 2D orbifolds in a strong magnetic field. We consider a family of Landau Hamiltonians on a complex, compact 2D orbifold $Y$ that are parametrised by the Jacobian torus $J(Y)$ of $Y$. We c
Externí odkaz:
http://arxiv.org/abs/1811.11748
Autor:
Pflaum, Markus J., Wilkin, Graeme
In this article we study Whitney (B) regular stratified spaces with the action of a compact Lie group $G$ which preserves the strata. We prove an equivariant submersion theorem and use it to show that such a $G$-stratified space carries a system of $
Externí odkaz:
http://arxiv.org/abs/1706.09539
Autor:
Kim, Semin, Wilkin, Graeme
In this paper we investigate the moduli space of parabolic Higgs bundles over a punctured Riemann surface with varying weights at the punctures. We show that the harmonic metric depends analytically on the weights and the stable Higgs bundle. This gi
Externí odkaz:
http://arxiv.org/abs/1705.08065
Autor:
Wilkin, Graeme
We show that the main theorem of Morse theory holds for a large class of functions on singular spaces. The function must satisfy certain conditions extending the usual requirements on a manifold that Condition C holds and the gradient flow around the
Externí odkaz:
http://arxiv.org/abs/1702.05223
Autor:
Garcia-Prada, Oscar, Wilkin, Graeme
We consider the action of a finite subgroup of the mapping class group $Mod(S)$ of an oriented compact surface $S$ of genus $g \geq 2$ on the moduli space $\mathcal{R}(S,G)$ of representations of $\pi_1(S)$ in a connected semisimple real Lie group $G
Externí odkaz:
http://arxiv.org/abs/1612.02508
We use gauge theoretic and algebraic methods to examine sufficient conditions for smooth points on the moduli space of flat connections on a compact manifold and on the character variety of a finitely generated and presented group. We give a complete
Externí odkaz:
http://arxiv.org/abs/1610.09987