Some more amplituhedra are contractible

Some more amplituhedra are contractible

Abstract The amplituhedra arise as images of the totally nonnegative Grassmannians by projections that are induced by linear maps. They were introduced in Physics by Arkani-Hamed and Trnka (J High Energy Phys 10:30, 2014) as model spaces that should provide a better understanding of the scattering a...

Full description

Bibliographic Details
Main Authors: Blagojević, Pavle V M (Author), Galashin, Pavel (Author), Palić, Nevena (Author), Ziegler, Günter M (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2021-09-20T17:20:17Z.
Subjects:
Article
Online Access:Get fulltext
LEADER 01318 am a22001693u 4500
001 131535
042 |a dc 
100 1 0 |a Blagojević, Pavle V M  |e author 
700 1 0 |a Galashin, Pavel  |e author 
700 1 0 |a Palić, Nevena  |e author 
700 1 0 |a Ziegler, Günter M  |e author 
245 0 0 |a Some more amplituhedra are contractible 
260 |b Springer International Publishing,   |c 2021-09-20T17:20:17Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/131535 
520 |a Abstract The amplituhedra arise as images of the totally nonnegative Grassmannians by projections that are induced by linear maps. They were introduced in Physics by Arkani-Hamed and Trnka (J High Energy Phys 10:30, 2014) as model spaces that should provide a better understanding of the scattering amplitudes of quantum field theories. The topology of the amplituhedra has been known only in a few special cases, where they turned out to be homeomorphic to balls. The amplituhedra are special cases of Grassmann polytopes introduced by Lam (in: Jerison, Kisin, Seidel, Stanley, Yau, Yau (eds) Current developments in mathematics, International Press, Somerville, 2016). In this paper we show that some further amplituhedra are homeomorphic to balls, and that some more Grassmann polytopes and amplituhedra are contractible. 
546 |a en 
655 7 |a Article 

Similar Items