HigherG-signatures for Lipschitz manifolds

Using the Teleman signature operator and Kasparov'sKK-theory, we prove a strong De Rham theorem and a higherG-signature theorem for Lipschitz manifolds. These give in particular a substitute for the usualG-signature theorem that applies to certain nonsmooth actions on topological manifolds. Then we present a number of applications. Among the most striking are a proof that nonlinear similarities preserve renormalized Atiyah-Bott numbers, and a proof that under suitable gap, local flatness, and simple connectivity hypotheses, a compact (topological)G-manifoldM is determined up to finite ambiguity by its isovariant homotopy type and by the classes of the equivariant signature operators on all the fixed sets . These could also be proved using joint work of Cappell, Shaneson, and the second author on topological characteristic classes.Partially supported by NSF Grants DMS-87-00551 and DMS-90-02642 (J.R.) and by NSF Grants, a Sloan Foundation Fellowship, and a Presidential Young Investigator award (S.W.).     

On the dynamics of a family of entire functions

We prove that for any bounded type irrational number 0θ1,the boundary of the Siegel disk of fα(z)=e2πiθsin(z)+αsin3(z),α∈C,which centered at the origin,is a quasicircle passing through 2,4 or 6 critical points of fαcounted with multiplicity.     

Surgery, Curvature, and Minimal Volume

On a Riemannian manifold X, we consider aK+s, where a is a nonnegative constant, K is the sectional curvature and s is the scalar curvature. It is shown that if X admits a metric with aK+s > 0, then so does any manifold obtained from X by surgeries of codimension 3. This implies the existence of such metrics on certain compact simply connected manifolds of dimension 5 by using the cobordism argument. We also study the corresponding minimal volume problem. As a corollary, we derive that every compact simply connected manifold of dimension 5 and every compact complex surface of Kodaira dimension 1 whose minimal model is not of Class VII collapse with aK+s bounded below.     

Assessment of Platelet Reactivity and Inflammatory Markers in Coronary Artery Bypass Graft Patients Treated with Acetylsalicylic Acid with Flavonoid Supplementation

The recommended pharmacological therapy for patients with coronary artery disease (CAD) treated by coronary artery bypass grafting (CABG) is acetylsalicylic acid (ASA). To improve the antiplatelet effect, supplementation with flavonoids is also recommended. The aim of this study was to estimate anti-aggregation properties of diosmin, in combination with ASA, pre- and postoperatively and assess the relationship of this therapy with inflammatory processes in CAD patients undergoing CABG. The study patients (n = 26) took diosmin (1000 mg/day); the control patients (n = 27) took a placebo. The therapeutic period for taking diosmin was from at least 30 days before to 30 days after CABG. All patients also took 75 mg/day ASA. Platelet aggregation and IL-6, CRP, and fibrinogen concentrations were determined before and 30 days after surgery. Results showed that diosmin did not enhance the anti-aggregation effect of ASA at any assessment time. However, there was a stronger anti-aggregation effect 30 days after surgery that was diosmin independent and was associated with acute-phase markers in the postoperative period. Increased levels of inflammatory markers in the late phase of the postoperative period may provide an unfavorable prognostic factor in long-term follow-up, which should prompt the use of stronger antiplatelet therapy in patients after CABG.     

Topological triviality of smoothly knotted surfaces in -manifolds

Some generalizations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements are standard, then these surfaces are topologically unknotted.

     

Positively oriented ideal triangulations on hyperbolic three-manifolds

Let M³ be a non-compact hyperbolic 3-manifold that has a triangulation by positively oriented ideal tetrahedra. We show that the gluing variety defined by the gluing consistency equations is a smooth complex manifold with dimension equal to the number of boundary components of M³. Moreover, we show that the complex lengths of any collection of non-trivial boundary curves, one from each boundary component, give a local holomorphic parameterization of the gluing variety. As an application, some estimates for the size of hyperbolic Dehn surgery space of once-punctured torus bundles are given.     

Transfer maps for triples of manifolds

Transfer maps are closely related to the problem of splitting a homotopy equivalence along a submanifold and with the problem of surgery on a pair of manifolds. In the present paper, we describe relations between various transfer maps for a triple of embedded manifolds.     

Surgery of closed manifolds with dihedral fundamental group

In the paper the obstruction groups to obtaining simple homotopy equivalence by surgery from normal degree 1 maps of closed manifolds with dihedral fundamental group are computed. The cases of trivial orientation for the dihedral group and nontrivial orientation for the order 2 cyclic subgroup are considered. New results concerning the Browder-Livesey groups and natural maps ofL-groups arising in index 2 inclusions of the cyclic group into the dihedral group are obtained.Translated fromMatematicheskie Zametki, Vol. 64, No. 2, pp. 238–250, August, 1998.The work of the first-named author was partially supported by of the Grant of the President of the Russian Federation, grant No. 96-15-96841. The work of the second-named author was partially suported the Ministry of Science and Technology of the Republic of Sloveniya, grant No. J1-7039-0101-95.     

腹腔镜手术联合药物治疗子宫内膜异位症的临床疗效分析

目的评价腹腔镜手术联合药物治疗子宫内膜异位症的临床疗效。方法选取东莞市第三人民医院于2015年1月至2017年1月收治的150例子宫内膜异位症患者,按随机盲选法分为两组,对照组75例给予腹腔镜手术治疗,观察组75例给予腹腔镜手术联合药物治疗,对比两组临床治疗效果。结果在治疗总有效率方面,观察组为94.67%,明显要比对照组的70.67%高,两组数据差异有统计学意义(P<0.05)。在不良反应发生率方面,观察组为5.33%,明显要比对照组的22.67%低,两组数据差异有统计学意义(P<0.05)。结论对于子宫内膜异位症患者,采取腹腔镜手术联合药物进行治疗,具备显著疗效,能够降低不良反应发生率,因此,值得在临床中采纳及应用。     

整体护理对肝胆术后发生胆瘘患者的临床护理效果观察

目的研究对肝胆术后发生胆瘘患者采取整体护理的临床效果。方法对84例肝胆术后发生胆瘘患者进行研究,以知情自愿为原则,将84例患者分为对照组与观察组,每组42例,分别采取常规护理与整体护理。比较两组的引流时间、住院时间、抑郁评分以及焦虑评分。结果观察组的引流时间、住院时间均短于对照组;观察组的抑郁评分、焦虑评分均低于对照组。上述指标的对比,P0.05,差异有统计学意义。结论对肝胆术后发生胆瘘患者采取整体护理有助于改善患者的不良心理状态,对患者的康复具有积极作用。