کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8966141 1646775 2018 52 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
چکیده انگلیسی
In analogy with the Gopakumar-Vafa conjecture on CY 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi-Yau 4-folds using Gromov-Witten theory and conjectured their integrality. In this paper, we propose a sheaf-theoretic interpretation of their genus zero invariants using Donaldson-Thomas theory on CY 4-folds. More specifically, we conjecture genus zero GV type invariants are DT4 invariants for one-dimensional stable sheaves on CY 4-folds. Some examples are computed for both compact and non-compact CY 4-folds to support our conjectures. We also propose an equivariant version of the conjectures for local curves and verify them in certain cases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 41-92
نویسندگان
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