کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777464 1632918 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Torus link homology and the nabla operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Torus link homology and the nabla operator
چکیده انگلیسی
In recent work, Elias and Hogancamp develop a recurrence for the Poincaré series of the triply graded Khovanov-Rozansky homology of certain links, one of which is the (n,n) torus link. In this case, Elias and Hogancamp give a combinatorial formula for this homology that is reminiscent of the combinatorics of the modified Macdonald polynomial eigenoperator ∇. We give a combinatorial formula for the homologies of all complexes considered by Elias and Hogancamp. Our first formula is not easily computable, so we show how to transform it into a computable version. Finally, we conjecture a direct relationship between the (n,n) torus link case of our formula and the symmetric function ∇p1n.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 154, February 2018, Pages 129-144
نویسندگان
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