接触同调与辛同调的一个正合序列
辛几何
2015-05-13 v2
摘要
具有接触型边界的辛流形诱导了的接触同调的线性化及相应的线性化接触同调。我们建立了一个Gysin型正合序列，其中的辛同调映射到，后者再通过度为-2的映射映射到，随后再映射到。此外，我们在的辛化中，用具有约束渐近标记的有理全纯曲线给出了该度为-2的映射的描述。
引用
@article{arxiv.0704.2169,
title = {An exact sequence for contact- and symplectic homology},
author = {Frédéric Bourgeois and Alexandru Oancea},
journal= {arXiv preprint arXiv:0704.2169},
year = {2015}
}
备注
Final version. Changes for v2: Proof of main theorem supplemented with detailed discussion of continuation maps. Description of degree -2 map rewritten with emphasis on asymptotic markers. Sec. 5.2 rewritten with emphasis on 0-dim. moduli spaces. Transversality discussion reorganized for clarity (now Remark 9). Various other minor modifications