Mathematical Sciences: Low-dimensional topology and geometry

马蒂奇将研究反自对偶的模空间理论 连接对，和杨米尔斯理论抛物 四维和二维的稳定束 她还将致力于 有理同调球的Floer同调。 该项目还包括部分支持年度 格鲁吉亚拓扑会议。 马蒂奇的研究结合了理论物理学和拓扑学 和微分几何的关系 物理 关于拓扑量子场论 这些导致 不变量的基础空间上，他们被定义。 虽然微分几何结构涉及到作为 中间体，最终导出的量取决于 只对拓扑，而不是几何性质的 空间.

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.