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Volume 29, Issue 4
Branched Coverings and Embedded Surfaces in Four-Manifolds

Ximin Liu & Yulai Wu

Commun. Math. Res., 29 (2013), pp. 370-376.

Published online: 2021-05

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  • Abstract

In this paper, we get a lower bound on the genera of surfaces representing certain divisible classes in some 4-manifold $X$ with $H_1(X;Z)$ finite.

  • Keywords

embedded surface, 4-manifold, genus.

  • AMS Subject Headings

57R40, 57R95, 57N13

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-370, author = {Liu , Ximin and Wu , Yulai}, title = {Branched Coverings and Embedded Surfaces in Four-Manifolds}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {4}, pages = {370--376}, abstract = {

In this paper, we get a lower bound on the genera of surfaces representing certain divisible classes in some 4-manifold $X$ with $H_1(X;Z)$ finite.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19000.html} }
TY - JOUR T1 - Branched Coverings and Embedded Surfaces in Four-Manifolds AU - Liu , Ximin AU - Wu , Yulai JO - Communications in Mathematical Research VL - 4 SP - 370 EP - 376 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19000.html KW - embedded surface, 4-manifold, genus. AB -

In this paper, we get a lower bound on the genera of surfaces representing certain divisible classes in some 4-manifold $X$ with $H_1(X;Z)$ finite.

Liu , Ximin and Wu , Yulai. (2021). Branched Coverings and Embedded Surfaces in Four-Manifolds. Communications in Mathematical Research . 29 (4). 370-376. doi:
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