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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)
     

Immersions of surfaces into aspherical 3-manifolds

Author(s): Tahl Nowik
Journal: Trans. Amer. Math. Soc. 361 (2009), 1833-1852.
MSC (2000): Primary 57Mxx, 57R42
Posted: November 5, 2008
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Abstract: We study finite order invariants of null-homotopic immersions of a closed orientable surface into an aspherical orientable 3-manifold. We give the foundational constructions and classify all order 1 invariants.


References:

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S. Izumiya, W. Marar, ``The Euler Characteristic of a Generic Wavefront in a 3-Manifold.'' Proceedings of the American Mathematical Society 118 (1993) 1347-1350. MR 1165055 (93j:58014)

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T. Nowik, ``Quadruple points of regular homotopies of surfaces in 3-manifolds.'' Topology 39 (2000) 1069-1088. MR 1763964 (2001i:57033)

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T. Nowik, ``Order one invariants of immersions of surfaces into 3-space.'' Mathematische Annalen 328 (2004) 261-283. MR 2030377 (2004m:57025)

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T. Nowik, ``Higher order invariants of immersions of surfaces into 3-space.'' Pacific Journal of Mathematics 223 (2006) 333-347. MR 2221030 (2007b:57024)

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T. Nowik, ``Formulae for Order One Invariants of Immersions of Surfaces.'' Advances in Mathematics 206 (2006), no. 2, 358-372. MR 2263707 (2007j:57031)

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Additional Information:

Tahl Nowik
Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
Email: tahl@math.biu.ac.il

DOI: 10.1090/S0002-9947-08-04532-7
PII: S 0002-9947(08)04532-7
Received by editor(s): February 25, 2007
Posted: November 5, 2008
Additional Notes: This work was partially supported by the Minerva Foundation
Copyright of article: Copyright 2008, American Mathematical Society


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