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Let $\Sigma_{g,n,b}$ denote the orientable surface obtained from the closed orientable surface $\Sigma_g$ of genus $g\geq2$ by deleting the interior of $n\geq 1$ distinct topological disks and $b\geq 1$ points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface $\Sigma_{g,n,b}$ in terms of Reidemeister torsion of the closed surface $\Sigma_{g},$ Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.
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참고문헌 (12)
참고문헌 신청
W. Franz / 1935 / Uber die Torsion einer Uberdeckung / J. Reine Angew. Math. 173:245~254
J. Milnor / 1966 / Whitehead torsion / Bull. Amer. Math. Soc. 72:358~426
C. Ozel / 2012 / Reidemeister torsion of product manifolds and its applications to quantum entanglement / Balkan J. Geom. Appl. 17(2):66~76
J. Porti / 1997 / Torsion de Reidemeister pour les varietes hyperboliques / Mem. Amer. Math. Soc. 128(612):x+139
K. Reidemeister / 1935 / Homotopieringe und Linsenraume / Abh. Math. Sem. Univ. Hamburg 11(1):102~109
J. Milnor / 1966 / Whitehead torsion / Bull. Amer. Math. Soc. 72:358~426
C. Ozel / 2012 / Reidemeister torsion of product manifolds and its applications to quantum entanglement / Balkan J. Geom. Appl. 17(2):66~76
J. Porti / 1997 / Torsion de Reidemeister pour les varietes hyperboliques / Mem. Amer. Math. Soc. 128(612):x+139
K. Reidemeister / 1935 / Homotopieringe und Linsenraume / Abh. Math. Sem. Univ. Hamburg 11(1):102~109
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