@article{CTGDC_1997__38_2_141_0, author = {Casali, Maria Rita and Malagoli, Luca}, title = {Handle-decompositions of $PL$ $4$-manifolds}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {141--160}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {38}, number = {2}, year = {1997}, mrnumber = {1454160}, zbl = {0880.57007}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1997__38_2_141_0/} }
TY - JOUR AU - Casali, Maria Rita AU - Malagoli, Luca TI - Handle-decompositions of $PL$ $4$-manifolds JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1997 SP - 141 EP - 160 VL - 38 IS - 2 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1997__38_2_141_0/ LA - en ID - CTGDC_1997__38_2_141_0 ER -
%0 Journal Article %A Casali, Maria Rita %A Malagoli, Luca %T Handle-decompositions of $PL$ $4$-manifolds %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1997 %P 141-160 %V 38 %N 2 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1997__38_2_141_0/ %G en %F CTGDC_1997__38_2_141_0
Casali, Maria Rita; Malagoli, Luca. Handle-decompositions of $PL$ $4$-manifolds. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 2, pp. 141-160. http://www.numdam.org/item/CTGDC_1997__38_2_141_0/
[BM] The combinatorics of colored triangulations of manifolds, Geometriae Dedicata 22 (1987), 303-328. | MR | Zbl
- ,[Ca1]. A combinatorial characterization of 4-dimensional handlebodies, Forum Math. 4 (1992), 123-134. | MR | Zbl
,[Ca2]. A note on the characterization of handlebodies, Europ. J. Combinatorics 14 (1993), 301-310. | MR | Zbl
[Ce] Automorphisms of 3-manifolds and representation of 4-manifolds, Ph.D. thesis, Warwick Univ., 1977.
,[Co] Coloured graphs representing manifolds and universal maps, Geometriae Dedicata 28 (1988), 349-357. | MR | Zbl
,[Cv1]. A combinatorial characterization of S3 × S1 among closed 4-manifolds, Proc. Amer. Math. Soc. 105 (1989), 1008-1014. | MR | Zbl
,[Cv2]. On the genus of smooth 4-manifolds, Trans. Amer. Math. Soc. 31 (1992), 203-214. | MR | Zbl
,[CG] Crystallizations of PL-manifolds with connected boundary, Boll. Un. Mat. Ital. 17B (1980), 902-917. | MR | Zbl
- ,[CP]. Some bounds for the regular genus of PL-manifolds, Discrete Math. 82 (1990), 165-180. | MR | Zbl
- ,[FG1]. The only genus zero n-manifold is Sn, Proc. Amer. Math. Soc. 85 (1982), 638-642. | MR | Zbl
- ,[FG2] A characterization of punctured n-spheres, Yokohama Math. J. 33 (1985), 29-38J. | MR | Zbl
- ,[FGG]. A graph-theoretical representation of PL-manifolds. A survey on crystallizations, Aequationes Math. 31 (1986), 121-141. | MR | Zbl
- - ,[Ga1]. Extending the concept of genus to dimension n, Proc. Amer. Math. Soc. 81 (1981), 473-481.. | MR | Zbl
[Ga 2]. Cobordant crystallizations, Discrete Math. 45 (1983), 61-73. | MR | Zbl
,[Ga3] Regular genus: the boundary case, Geometriae Dedicata 22 (1987), 261-281. | MR | Zbl
,[Ha] Graph theory, Addison-Wesley, Reading, 1969. | MR | Zbl
,[He] 3-manifolds, Princeton Univ. Press, 1976.
,[HW] An introduction to algebraic topology - Homology theory, Cambridge Univ. Press, Cambridge, 1960. | MR | Zbl
- ,[KS]. On the triangulation of manifolds and the Haupvermutung, Bull. Amer. Math. Soc. 75 (1961), 742-749. | MR | Zbl
- ,[L] Topologie de la dimension trois: homotopie et isotopie, Soc. Math. de France, Asterisque 12, 1974. | Numdam | MR | Zbl
,[M] Heegaard diagrams for closed 4-manifolds, Geometric Topology (J. Cantrell Ed.), Proc. 1977 Georgia Conference, Academic Press (1979), 219-237. | MR | Zbl
,[P]. Sulla struttura topologica delle varieta compatte, Atti Sem. Mat. Fis. Univ. Modena 23 (1974), 269-277. | MR | Zbl
[RS] Introduction to piecewise-linear topology, Springer Verlag, Berlin - Heidelberg - New York, 1972. | MR | Zbl
- , ,