Mathematics > Geometric Topology
[Submitted on 26 Jan 2014 (v1), last revised 21 Sep 2018 (this version, v4)]
Title:Floer homology and embedded bipartite graphs
View PDFAbstract:We generalize the construction of the Heegaard Floer homology for a singular knot to that for a balanced bipartite graph. For a given graph, we provide a combinatorial description of the Euler characteristic of its Heegaard Floer homology by using the "Kauffman states" on a graph diagram.
Submission history
From: Yuanyuan Bao [view email][v1] Sun, 26 Jan 2014 04:20:58 UTC (309 KB)
[v2] Tue, 5 Apr 2016 14:39:34 UTC (344 KB)
[v3] Wed, 4 Jan 2017 03:27:17 UTC (365 KB)
[v4] Fri, 21 Sep 2018 05:20:26 UTC (142 KB)
References & Citations
Bibliographic and Citation Tools
Bibliographic Explorer (What is the Explorer?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)
Code, Data and Media Associated with this Article
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)
Demos
Recommenders and Search Tools
Influence Flower (What are Influence Flowers?)
Connected Papers (What is Connected Papers?)
CORE Recommender (What is CORE?)
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.