On topological approach to local theory of surfaces in Calabi-Yau threefolds
Sergei Gukov, Chiu-Chu Melissa Liu, Artan Sheshmani, Shing-Tung Yau

TL;DR
This paper explores the interconnectedness of enumerative invariants in Calabi-Yau threefolds, focusing on topological gauge theories and their reductions, to deepen understanding of the local surface theory.
Contribution
It introduces a topological framework linking Gromov-Witten and Donaldson-Thomas invariants in the context of Calabi-Yau threefolds and their surface theories.
Findings
Establishes dualities between enumerative invariants
Analyzes Donaldson-Thomas theory reductions
Provides insights into local surface theories in Calabi-Yau threefolds
Abstract
We study the web of dualities relating various enumerative invariants, notably Gromov-Witten invariants and invariants that arise in topological gauge theory. In particular, we study Donaldson-Thomas gauge theory and its reductions to D=4 and D=2 which are relevant to the local theory of surfaces in Calabi-Yau threefolds.
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