Pub Date : 2014-07-29DOI: 10.1007/S11511-016-0135-3
A. Gogolev, P. Ontaneda, F. R. Hertz
{"title":"New partially hyperbolic dynamical systems I","authors":"A. Gogolev, P. Ontaneda, F. R. Hertz","doi":"10.1007/S11511-016-0135-3","DOIUrl":"https://doi.org/10.1007/S11511-016-0135-3","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"52 1","pages":"363-393"},"PeriodicalIF":3.7,"publicationDate":"2014-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-016-0135-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-07-10DOI: 10.1007/S11511-016-0142-4
A. Figalli, A. Guionnet
{"title":"Universality in several-matrix models via approximate transport maps","authors":"A. Figalli, A. Guionnet","doi":"10.1007/S11511-016-0142-4","DOIUrl":"https://doi.org/10.1007/S11511-016-0142-4","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"217 1","pages":"81-176"},"PeriodicalIF":3.7,"publicationDate":"2014-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-016-0142-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-07-01DOI: 10.1007/S11511-017-0144-X
A. Constantin, W. Strauss, Eugen Varvaruca
{"title":"Global bifurcation of steady gravity water waves with critical layers","authors":"A. Constantin, W. Strauss, Eugen Varvaruca","doi":"10.1007/S11511-017-0144-X","DOIUrl":"https://doi.org/10.1007/S11511-017-0144-X","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"217 1","pages":"195-262"},"PeriodicalIF":3.7,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-017-0144-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-06-19DOI: 10.4310/acta.2020.v225.n1.a3
Damian Osajda
We construct small cancellation labellings for some infinite sequences of finite graphs of bounded degree. We use them to define infinite graphical small cancellation presentations of groups. This technique allows us to provide examples of groups with exotic properties: - We construct the first examples of finitely generated coarsely non-amenable groups (that is, groups without Guoliang Yu's Property A) that are coarsely embeddable into a Hilbert space. Moreover, our groups act properly on CAT(0) cubical complexes. - We construct the first examples of finitely generated groups, with expanders embedded isometrically into their Cayley graphs - in contrast,in the case of the Gromov monster expanders are not even coarsely embedded. We present further applications.
{"title":"Small cancellation labellings of some infinite graphs and applications","authors":"Damian Osajda","doi":"10.4310/acta.2020.v225.n1.a3","DOIUrl":"https://doi.org/10.4310/acta.2020.v225.n1.a3","url":null,"abstract":"We construct small cancellation labellings for some infinite sequences of finite graphs of bounded degree. We use them to define infinite graphical small cancellation presentations of groups. This technique allows us to provide examples of groups with exotic properties: \u0000- We construct the first examples of finitely generated coarsely non-amenable groups (that is, groups without Guoliang Yu's Property A) that are coarsely embeddable into a Hilbert space. Moreover, our groups act properly on CAT(0) cubical complexes. \u0000- We construct the first examples of finitely generated groups, with expanders embedded isometrically into their Cayley graphs - in contrast,in the case of the Gromov monster expanders are not even coarsely embedded. \u0000We present further applications.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"42 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2014-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85822708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-05-07DOI: 10.4467/20843828am.18.003.9719
Jian Xiao
In this note, we give a Morse-type bigness criterion for the difference of two pseudo-effective $(1,1)$-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable $(n-1,n-1)$-classes.
{"title":"Movable intersection and bigness criterion","authors":"Jian Xiao","doi":"10.4467/20843828am.18.003.9719","DOIUrl":"https://doi.org/10.4467/20843828am.18.003.9719","url":null,"abstract":"In this note, we give a Morse-type bigness criterion for the difference of two pseudo-effective $(1,1)$-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable $(n-1,n-1)$-classes.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"1 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2014-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70986150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-04-28DOI: 10.1007/s11511-016-0143-3
E. Mukhin, V. Tarasov
{"title":"Lower bounds for numbers of real solutions in problems of Schubert calculus","authors":"E. Mukhin, V. Tarasov","doi":"10.1007/s11511-016-0143-3","DOIUrl":"https://doi.org/10.1007/s11511-016-0143-3","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"217 1","pages":"177-193"},"PeriodicalIF":3.7,"publicationDate":"2014-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11511-016-0143-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-04-24DOI: 10.1007/S11511-016-0134-4
M. S. Borman, Y. Eliashberg, Emmy Murphy
{"title":"Existence and classification of overtwisted contact structures in all dimensions","authors":"M. S. Borman, Y. Eliashberg, Emmy Murphy","doi":"10.1007/S11511-016-0134-4","DOIUrl":"https://doi.org/10.1007/S11511-016-0134-4","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"13 1","pages":"281-361"},"PeriodicalIF":3.7,"publicationDate":"2014-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-016-0134-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-03-18DOI: 10.1007/S11511-014-0109-2
Y. Martel, F. Merle, P. Raphaël
{"title":"Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton","authors":"Y. Martel, F. Merle, P. Raphaël","doi":"10.1007/S11511-014-0109-2","DOIUrl":"https://doi.org/10.1007/S11511-014-0109-2","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"212 1","pages":"59-140"},"PeriodicalIF":3.7,"publicationDate":"2014-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-014-0109-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53063647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-16DOI: 10.4310/acta.2020.v224.n1.a2
Alexander Berglund, I. Madsen
We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for the homotopy automorphisms and the block diffeomorphisms of such manifolds. Moreover, we use these models to calculate the rational cohomology of the classifying spaces of the homotopy automorphisms and block diffeomorphisms of the manifold #^g S^d x S^d relative to an embedded disk as g tends to infinity. The answer is expressed in terms of stable cohomology of arithmetic groups and invariant Lie algebra cohomology. Through an extension of Kontsevich's work on graph complexes, we relate our results to the (unstable) homology of automorphisms of free groups with boundaries.
研究了至少五维光滑单连通流形自同构群的分类空间的有理同伦类型。给出了这类流形的同伦自同构和块微分同构的dg李代数模型。此外，我们利用这些模型计算了流形#^g S^d x S^d的同伦自同构和块微分同构的分类空间在g趋于无穷时相对于嵌入盘的有理上同调。用算式群的稳定上同调和不变李代数上同调来表示答案。通过推广Kontsevich在图复合体上的工作，我们将我们的结果与有边界的自由群的自同构的(不稳定)同调联系起来。
{"title":"Rational homotopy theory of automorphisms of manifolds","authors":"Alexander Berglund, I. Madsen","doi":"10.4310/acta.2020.v224.n1.a2","DOIUrl":"https://doi.org/10.4310/acta.2020.v224.n1.a2","url":null,"abstract":"We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for the homotopy automorphisms and the block diffeomorphisms of such manifolds. \u0000Moreover, we use these models to calculate the rational cohomology of the classifying spaces of the homotopy automorphisms and block diffeomorphisms of the manifold #^g S^d x S^d relative to an embedded disk as g tends to infinity. The answer is expressed in terms of stable cohomology of arithmetic groups and invariant Lie algebra cohomology. Through an extension of Kontsevich's work on graph complexes, we relate our results to the (unstable) homology of automorphisms of free groups with boundaries.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":"1 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2014-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71152593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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