Artan Sheshmani gets an article accepted for publication in Notices of the International Congress of Chinese Mathematicians
2019.02.21 |
The article by Sheshmani; Hilbert schemes, Donaldson-Thomas theory, Vafa-Witten and SeibergWitten theories is accepted for publication in Notices of the International Congress of Chinese Mathematicians.
In this article Sheshmani provides the summary of two of his former papers, where the authors studied the enumerative geometry of “nested Hilbert schemes” of points and curves on algebraic surfaces and their connections to threefold theories, and in particular relevant Donaldson-Thomas, Vafa-Witten and SeibergWitten theories.
The papers summarised are:
Amin Gholampour, Artan Sheshmani, and Shing-Tung Yau. “Nested Hilbert schemes on surfaces: virtual fundamental class.” arXiv:1701.08899 (To appear in Journal of Differential Geometry).
and
Amin Gholampour, Artan Sheshmani and Shing-Tung Yau. “Localized DonaldsonThomas theory of surfaces”, arXiv:1701.08902.
Link to the article:https://scholar.harvard.edu/files/artan/files/survey-iccm-2.pdf
