Grassmann–Grassmann conormal varieties, integrability, and plane partitions
نویسندگان
چکیده
منابع مشابه
Plane Partitions
Throughout our study of the enumeration of plane partitions we make use of bijective proofs to find generating functions. In particular, we consider bounded plane partitions, symmetric plane partitions and weak reverse plane partitions. Using the combinatorial interpretations of Schur functions in relation to semistandard Young tableaux, we rely on the properties of symmetric functions. In our ...
متن کاملSubwords and Plane Partitions
Using the powerful machinery available for reduced words of type B, we demonstrate a bijection between centrally symmetric k-triangulations of a 2(n + k)-gon and plane partitions of height at most k in a square of size n. This bijection can be viewed as the type B analogue of a bijection for k-triangulations due to L. Serrano and C. Stump. Résumé. En utilisant la machinerie puissante pour mots ...
متن کاملCharacteristic Classes of Singular Varieties via Conormal Geometry
The main purpose of this paper is to give a short introduction to the theory of characteristic classes of singular varieties via the conormal geometry approach. Our account is far from being complete and is directed mainly to the students who would like to explore the subject. Thus, instead of giving a long list of statements or an exhaustive historical account our purpose is to present the mai...
متن کاملReduced Words and Plane Partitions
Let w0 be the element of maximal length in the symmetric group Sn , and let Red(w0) be the set of all reduced words for w0. We prove the identity ∑ (a1,a2,...)∈Red(w0) (x + a1)(x + a2) · · · = ( n 2 ) ! ∏ 1≤i< j≤n 2x + i + j − 1 i + j − 1 , (∗) which generalizes Stanley’s [20] formula for the cardinality of Red(w0), and Macdonald’s [11] formula ∑ a1a2 · · · = ( 2 )!. Our approach uses an observ...
متن کاملPlane overpartitions and cylindric partitions
Generating functions of plane overpartitions are obtained using various methods: non–intersecting paths, RSK type algorithms and symmetric functions. We extend some of the results to cylindric partitions. Also, we show that plane overpartitions correspond to domino tilings and we give some basic properties of this correspondence.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2019
ISSN: 1777-5310
DOI: 10.5802/aif.3266