Mathematical Sciences: Low-dimensional topology and geometry

Matic将研究对的反自对偶连接的模空间理论，以及四维和二维抛物稳定束的Yang-Mills理论。她还将研究有理同调球的花同调。该项目还包括对年度Georgia Topology Conference的部分支持。马蒂奇的研究以以下方式将理论物理与拓扑学和微分几何结合起来。物理学涉及拓扑量子场论。这些导致了定义它们的底层空间的不变量。虽然微分几何结构是作为中介的，但最终得出的量只依赖于空间的拓扑特征而不是几何特征。

Matic will study a theory of moduli spaces of anti-self-dual connections for pairs, and a Yang-Mills theory for parabolic stable bundles in dimensions four and two. She will also work on Floer homology for rational homology spheres. This project also includes partial support for the annual Georgia Topology Conference. Matic's research combines theoretical physics with topology and differential geometry in the following way. The physics concerns topological quantum field theories. These lead to invariants of the underlying spaces on which they are defined. Although differential geometric constructions are involved as intermediaries, in the end quantities are derived which depend only on the topological and not the geometric character of the spaces.