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- W1630078024 abstract "The Bishop invariant is a powerful tool in the analysis of real submanifolds of complex space that associates to every (non-degenerate) complex tangent of the embedding a non-negative real number (or infinity). It is a biholomorphism invariant that gives information regarding the local hull of holomorphy of the manifold near the complex tangent. In this paper, we derive a readily applicable formula for the computation of the Bishop invariant for graphical embeddings of 3-manifolds into $mathbb{C}^3$. We then exhibit some examples over $S^3$ demonstrating the different possible configurations of the Bishop invariant along complex tangents to such embeddings. We will also generate a few more results regarding the behavior of the Bishop invariant in certain situations. We end our paper by analyzing the different possible outcomes from the perturbation of a degenerate complex tangent." @default.
- W1630078024 created "2016-06-24" @default.
- W1630078024 creator A5042607448 @default.
- W1630078024 date "2015-06-26" @default.
- W1630078024 modified "2023-09-27" @default.
- W1630078024 title "On the Bishop Invariants of Embeddings of $S^3$ into $mathbb{C}^3$" @default.
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