辛自极凸体空间的可收缩性
Contractibility of space of symplectically self-polar convex bodies
AI总结:
本文研究与Mahler猜想、辛外弹球动力学相关的辛自极凸体空间的拓扑,证明该空间具有可收缩性。
AI中文摘要:
辛自极凸体是近年引入的概念,与Mahler猜想及辛外弹球动力学相关。本文讨论辛自极凸体空间的拓扑性质,证明该空间是可收缩的。
英文摘要:
Symplectically self-polar bodies have been introduced recently. They appeared in the context of Mahler's conjecture and in the context of symplectic outer billiard dynamics. In this paper we discuss the topology of the space of symplectically self-polar convex bodies. Namely, we show that this space is contractible.