## Concordances from the standard surface in $S^2\times S^2$

*Miller, Maggie*;

- Subject: Mathematics - Geometric Topology

In this note, we combine the recent 4-dimensional light bulb theorem of David Gabai and a recent construction of concordances for knots in $S^2\times S^1$ due to Eylem Zeliha Yildiz to construct a concordance between the standard surface of genus $g$ in $S^2\times S^2$ ... View more

- References (5)
[G] David Gabai, The 4-dimensional light bulb theorem, arXiv:1705.09989 (May 2017).

[KSS] A. Kawauchi, T. Shibuya and S. Suzuki, Descriptions on surfaces in four-space I; normal forms, Math. Sem. Notes Kobe Univ. 10 (1982), 75-125.

[S] Nathan S. Sunukjian, Surfaces in 4-manifolds: concordance, isotopy, and surgery, arXiv: 1305.6542 (May 2013).

[Y] Eylem Zeliha Yildiz, A Note on Knot Concordance, arXiv:1707.01650 (July 2017).

Department of Mathematics, Princeton University, Princeton, NJ 08544 E-mail address: maggiem@math.princeton.edu

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