Proceedings of the Second ISAAC Congress: Volume 2: This project has been executed with Grant No. 11–56 from the Commemorative Association for the ... Analysis, Applications and Computation, 8) - Softcover
Synopsis
Let 8 be a Riemann surface of analytically finite type (9, n) with 29 - 2+n> O. Take two pointsP1, P2 E 8, and set 8 ,1>2= 8 \ {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor- phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso- topic to the identity on 8 ,P2' ThenHomeot(8;P1,P2) is a normal sub- pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen- Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbolic. The condition is described in terms of properties of the pure braid [b ] w induced by [w]. Proofs will appear elsewhere. The problem considered in this note and the form ofthe solution are suggested by Kra's beautiful theorem in [6], where he treats self-maps of Riemann surfaces with one specified point. 2 TheclassificationduetoBers Let us recall the classification of elements of the mapping class group due to Bers (see Bers [1]). LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R) be the Teichmtiller modular group of R. Note that an orientation preserving homeomorphism w: R -+ R induces canonically an element (w) EMod(R). Denote by&.r(R)(*,.) the Teichmiiller distance onT(R). For an elementXEMod(R), we define a(x)= inf &.r(R)(r,x(r)).
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Proceedings of the Second ISAAC Congress: Volume 2: This project has been executed with Grant No. 11-56 from the Commemorative Association for the ... Analysis, Applications and Computation, 8)
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Let 8 be a Riemann surface of analytically finite type (9, n) with 29 2+n O. Take two pointsP1, P2 E 8, and set 8 ,12= 8 {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso topic to the identity on 8 ,P2' ThenHomeot(8;P1,P2) is a normal sub pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbolic. The condition is described in terms of properties of the pure braid [b ] w induced by [w]. Proofs will appear elsewhere. The problem considered in this note and the form ofthe solution are suggested by Kra's beautiful theorem in [6], where he treats self-maps of Riemann surfaces with one specified point. 2 TheclassificationduetoBers Let us recall the classification of elements of the mapping class group due to Bers (see Bers [1]). LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R) be the Teichmtiller modular group of R. Note that an orientation preserving homeomorphism w: R -+ R induces canonically an element (w) EMod(R). Denote by&.r(R)( ,.) the Teichmiiller distance onT(R). For an elementXEMod(R), we define a(x)= inf &.r(R)(r,x(r)). 840 pp. Englisch. Seller Inventory # 9781461379713
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Proceedings of the Second Isaac Congress | Volume 2: This Project Has Been Executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970)
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Taschenbuch. Condition: Neu. Proceedings of the Second Isaac Congress | Volume 2: This Project Has Been Executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970) | Heinrich G W Begehr (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2011 | Springer Us | EAN 9781461379713 | Verantwortliche Person für die EU: Springer Heidelberg, Tiergartenstr. 17, 69121 Heidelberg, buchhandel-buch[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105648864
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Proceedings of the Second ISAAC Congress
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Condition: New. Volume 1: Preface. 1. A central limit theorem for the Simple random walk on a crystal lattice M. Kotani, T. Sunada. 2. Level Statistics for Quantum Hamiltonians - Some Preliminary Ideas toward Mathematical Justification of the Theory of Berry and Tabor. Seller Inventory # 4196084
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Proceedings of the Second Isaac Congress : Volume 2: This Project Has Been Executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970)
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Let 8 be a Riemann surface of analytically finite type (9, n) with 29 2+n O. Take two pointsP1, P2 E 8, and set 8 ,12= 8 {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso topic to the identity on 8 ,P2' ThenHomeot(8;P1,P2) is a normal sub pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbolic. The condition is described in terms of properties of the pure braid [b ] w induced by [w]. Proofs will appear elsewhere. The problem considered in this note and the form ofthe solution are suggested by Kra's beautiful theorem in [6], where he treats self-maps of Riemann surfaces with one specified point. 2 TheclassificationduetoBers Let us recall the classification of elements of the mapping class group due to Bers (see Bers [1]). LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R) be the Teichmtiller modular group of R. Note that an orientation preserving homeomorphism w: R -+ R induces canonically an element (w) EMod(R). Denote by&.r(R)( ,.) the Teichmiiller distance onT(R). For an elementXEMod(R), we define a(x)= inf &.r(R)(r,x(r)). Seller Inventory # 9781461379713
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Proceedings of the Second ISAAC Congress
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Proceedings of the Second Isaac Congress: This Project Has Been Executed With Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970): Vol 2
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