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Moduli Spaces and Applications in Geometry,Topology,Analysis and Mathematical Physic
Moduli Spaces and Applications Geometry Topology Analysis Mathematical Physic
2017/1/11
Given the fundamental importance of moduli spaces and their applications in many different topics, we are organizing a week long conference titled "Moduli spaces and applications in geometry, topology...
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE
MODULI SPACE POLYGONS EUCLIDEAN PLANE
2015/10/14
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
Deligne and Rapoport developed the theory of generalized elliptic curves over
arbitrary schemes and they proved that various moduli stacks for (ample) “level-N” structures on generalized
elliptic cu...
Abstract: In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerb...
Swap action on moduli spaces of polygonal linkages
Swap action moduli spaces polygonal linkages
2011/8/22
Abstract: The basic object of the paper is the moduli space $M_{2,3}(L)$ of a closed polygonal linkage either in $\mathbb{R}^2$ or in $\mathbb{R}^3$. As was originally suggested by G. Khimshiashvili, ...
Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)
Modification Simpson moduli space M_{3m+1}(P_2) vector bundles (I)
2011/2/28
We consider the moduli space of stable vector bundles on curves embedded in P2 with Hilbert polynomial 3m+ 1 and construct a compactification of this space by vector bundles. The result fM is a blow u...
Recent Development on the Geometry of the Teichuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds
Geometry of the Teichuller Moduli Spaces Riemann Surfaces Polarized Calabi-Yau Manifolds
2018/4/19
The moduli spaceMg,k of Riemann surfaces of genus g with k punctures plays an important role in many area of mathematics and theoretical physics.In this article we first survey some of our recent work...
In this paper we briefly survey our recent results about the Mumford goodness of several canonical metrics on the moduli spaces of Riemann surfaces. We will also prove the dual Nakano negativity of th...
GEOMETRIC ASPECTS OF THE MODULI SPACE OF RIEMANN SURFACES
Introduction The Topological Aspects Moduli Space Background of the Teichm¨uller Theory
2018/4/20
The study of moduli space and Teichm¨uller space has a long history. These two spaces lie in the intersections of the researches in many areas of mathematics and physics. Many deep results have been o...