arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1504.01979math-phmath.MP
收藏

关于Pachner移动在4D中的实现

On realizations of Pachner moves in 4D

Rinat Kashaev

摘要:

本文分析了四维Pachner移动的组合结构,并给出了(3,3)型移动的几个例子。特别是,与庞特里亚金自对偶局部紧阿贝尔群的解决方案的特点是显着的对称性,在有限阿贝尔群的情况下,产生一个简单的模型的组合TQFT在四个维度的角落。

英文摘要:

The combinatorial structure of Pachner moves in four dimensions is analyzed in the case of a distinguished move of the type (3,3) and few examples of solutions are reviewed. In particular, solutions associated to Pontryagin self-dual locally compact abelian groups are characterized with remarkable symmetry properties which, in the case of finite abelian groups, give rise to a simple model of combinatorial TQFT with corners in four dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑