Theta characteristics on singular curves, spin structures and Rohlin theorem

A. Libgober

Annales scientifiques de l'École Normale Supérieure (1988)

  • Volume: 21, Issue: 4, page 623-635
  • ISSN: 0012-9593

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Libgober, A.. "Theta characteristics on singular curves, spin structures and Rohlin theorem." Annales scientifiques de l'École Normale Supérieure 21.4 (1988): 623-635. <http://eudml.org/doc/82239>.

@article{Libgober1988,
author = {Libgober, A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {singular algebraic curve; theta characteristics; Harris invariant; Robertello invariant; link singularity; Alexander polynomial},
language = {eng},
number = {4},
pages = {623-635},
publisher = {Elsevier},
title = {Theta characteristics on singular curves, spin structures and Rohlin theorem},
url = {http://eudml.org/doc/82239},
volume = {21},
year = {1988},
}

TY - JOUR
AU - Libgober, A.
TI - Theta characteristics on singular curves, spin structures and Rohlin theorem
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1988
PB - Elsevier
VL - 21
IS - 4
SP - 623
EP - 635
LA - eng
KW - singular algebraic curve; theta characteristics; Harris invariant; Robertello invariant; link singularity; Alexander polynomial
UR - http://eudml.org/doc/82239
ER -

References

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  1. [A] M. ATIYAH, Riemann Surfaces and Spin Structures (Ann. Scient. Ec. Norm. Sup., 4 série, T. 4, 1971). Zbl0212.56402MR44 #3350
  2. [AR] M. ATIYAH and E. REES, Vector Bundles on Projective 3-Space (Inv. Math., Vol. 35, 1976). Zbl0332.32020MR54 #7870
  3. [ACGH] ARBARELLO, CORNALBA, GRIFFITHS and HARRIS, Geometry of Algebraic Curves, Vol. 1, Springer Verlag, 1985. Zbl0559.14017MR86h:14019
  4. [B] W. BROWDER, Surgery on Simply Connected Manifolds, Springer Verlag, 1972. Zbl0239.57016MR50 #11272
  5. [J] D. JOHNSON, Spin Structures and Quadratic Forms on Surfaces (Journ. of London Math. Soc., Vol. 2, (22), 1980, pp. 365-373). Zbl0454.57011MR81m:57015
  6. [H] J. HARRIS, Theta Characteristics on Algebraic Curves (Trans. Amer. Math. Soc., Vol. 271, 1982, pp. 611-638). Zbl0513.14025MR83m:14022
  7. [L] J. LEVINE, Polynomial Invariants of Knots of Codimension Two (Ann. of Math, Vol. 84, 1966). Zbl0196.55905MR34 #808
  8. [M1] J. MILNOR, Spin Structures on Manifolds (L'enseignement Math., Vol. 9, 1963, pp. 198-203). Zbl0116.40403MR28 #622
  9. [M2] J. MILNOR, Singular Points of Complex Hypersurfaces (Ann. of Math. Studies, Princeton, 1968). Zbl0184.48405MR39 #969
  10. [Mu1] K. MURASUGI, Arf Invariant of Knot Types (Proc. A.M.S., vol. 21, 1969, p. 69-72). Zbl0176.22102MR38 #6577
  11. [Mu2] K. MURASUGI, On the Arf Invariant of Links (Math. Proc. Camb. Phil. Soc., Vol. 95, 1984, pp. 61-69). Zbl0558.57001MR85j:57007
  12. [O] S. OSHANINE, Signature et invariant de Kervaire généralisés, C.R. Acad. Sci. Paris, 285, série A, 1977, pp. 211-213. Zbl0361.57016MR56 #16645
  13. [R] R. ROBERTELLO, An Invariant of Knot Cobordisms (Comm. Pure Appl. Math., Vol. 18, 1965, pp. 543-555). Zbl0151.32501MR32 #447
  14. [Ro] V. A. ROHLIN, Proof of Gudkov Hypotheses (Funct. Anal. and Appl., 1972, pp. 136-138). Zbl0259.14010

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