普通与拉格朗日格拉斯曼流形上上同调的滤波
组合数学
2022-08-10 v2
摘要
本文研究对于正整数 ，由次数不超过 的元素生成的复格拉斯曼流形上同调环的子代数。我们基于 Reiner 和 Tudose 关于该子代数 Hilbert 级数的猜想，以两种方式展开研究。第一种将其重新解释为 -共轭运算，提出两个猜想性的子代数基，它们可推出其猜想。第二种引入了拉格朗日格拉斯曼流形上同调的类似猜想。
引用
@article{arxiv.2011.03179,
title = {Filtering cohomology of ordinary and Lagrangian Grassmannians},
author = {The 2020 Polymath Jr. REU "q-binomials and the Grassmannian group" and : and Huda Ahmed and Rasiel Chishti and Yu-Cheng Chiu and Galen Dorpalen-Barry and Jeremy Ellis and David Fang and Michael Feigen and Jonathan Feigert and Mabel González and Dylan Harker and Jiaye Wei and Bhavna Joshi and Gandhar Kulkarni and Kapil Lad and Zhen Liu and Ma Mingyang and Lance Myers and Arjun Nigam and Tudor Popescu and Victor Reiner and Zijian Rong and Eunice Sukarto and Leonardo Mendez Villamil and Chuanyi Wang and Napoleon Wang and Ajmain Yamin and Jeffery Yu and Matthew Yu and Yuanning Zhang and Ziye Zhu and Chen Zijian},
journal= {arXiv preprint arXiv:2011.03179},
year = {2022}
}
备注
Version to appear in Involve