@Article{CMR-29-143, author = {Han , YoufaPan , shengjun and Wang , Shuxin}, title = {A Kind of Essential Surfaces in the Complements of Knots}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {2}, pages = {143--147}, abstract = {

In this paper, by the twist-crossing number of knots, we give an upper bound on the Euler characteristic of a kind of essential surfaces in the complements of alternating knots and almost alternating knots, which improves the estimation of the Euler characteristic of the essential surfaces with boundaries under certain conditions. Furthermore, we give the genus of the essential surfaces.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19017.html} }