Amplituhedron Cells and Stanley Symmetric Functions
作者： Thomas Lam
DOI: 10.1007/S00220-016-2602-2
关键词:
摘要: The amplituhedron was recently introduced in the study of scattering amplitudes \({N = 4}\) super Yang–Mills. We compute cohomology class a tree subvariety Grassmannian to be truncation an affine Stanley symmetric function.
springer.com
harvard.edu
sci-hub.se 参考文章(14)
G. Lusztig, Total Positivity in Reductive Groups Lie Theory and Geometry. ,vol. 14, pp. 531- 568 ,(1994) , 10.1007/978-1-4612-0261-5_20
William Fulton, Young Tableaux: With Applications to Representation Theory and Geometry ,(1996)
Steven L. Kleiman, The transversality of a general translate Compositio Mathematica. ,vol. 28, pp. 287- 297 ,(1974)
Thomas Lam, Totally nonnegative Grassmannian and Grassmann polytopes arXiv: Combinatorics. ,(2015)
Alexander Postnikov, Total positivity, Grassmannians, and networks arXiv: Combinatorics. ,(2006)
Jacob L. Bourjaily, Jaroslav Trnka, Freddy Cachazo, Alexander Postnikov, Alexander B. Goncharov, Nima Arkani-Hamed, Scattering Amplitudes and the Positive Grassmannian arXiv: High Energy Physics - Theory. ,(2012) , 10.14288/1.0043020
Thomas. Lam, AFFINE STANLEY SYMMETRIC FUNCTIONS American Journal of Mathematics. ,vol. 128, pp. 1553- 1586 ,(2006) , 10.1353/AJM.2006.0045
Jennifer Morse, Thomas Lam, Mark Shimozono, Luc Lapointe, Affine Insertion and Pieri Rules for the Affine Grassmannian ,(2010)
Thomas Lam, David E Speyer, Allen Knutson, Positroid varieties I: juggling and geometry arXiv: Algebraic Geometry. ,(2009)
Bernd Sturmfels, Totally positive matrices and cyclic polytopes Linear Algebra and its Applications. ,vol. 107, pp. 275- 281 ,(1988) , 10.1016/0024-3795(88)90250-9