2-dimensional stable pairs on 4-folds
Amin Gholampour (University of Maryland)
Abstract: I will discuss a 2-dimensional stable pair theory of nonsingular complex 4-folds that is parallel to Pandharipande-Thomas' 1-dimensional stable pair theory of 3-folds. The stable pairs of a 4-fold are related to its 2-dimensional subschemes via wall-crossings in the space of polynomial stability conditions. In Calabi-Yau case, Oh-Thomas theory is applied to define invariants counting these stable pairs under some restrains. This is a joint work with Yunfeng Jiang and Jason Lo.
algebraic geometry
Audience: researchers in the topic
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Meeting ID: 9086116889
Passcode: 13440 $\times$ the number of lines on a cubic surface
IPM Algebraic Geometry Seminar
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