Yakov Eliashberg

All Publications

• The topology of rationally and polynomially convex domains INVENTIONES MATHEMATICAE Cieliebak, K., Eliashberg, Y. 2015; 199 (1): 215-238

  View details for DOI 10.1007/s00222-014-0511-6

  View details for Web of Science ID 000347230400003

• RECENT ADVANCES IN SYMPLECTIC FLEXIBILITY BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Eliashberg, Y. 2015; 52 (1): 1-26

  View details for Web of Science ID 000351422600001

• CONSTRUCTING EXACT LAGRANGIAN IMMERSIONS WITH FEW DOUBLE POINTS GEOMETRIC AND FUNCTIONAL ANALYSIS Ekholm, T., Eliashberg, Y., Murphy, E., Smith, I. 2013; 23 (6): 1772-1803

  View details for DOI 10.1007/s00039-013-0243-6

  View details for Web of Science ID 000328206000003

• Lagrangian caps GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Murphy, E. 2013; 23 (5): 1483-1514

  View details for DOI 10.1007/s00039-013-0239-2

  View details for Web of Science ID 000324570800002

• Effect of Legendrian surgery GEOMETRY & TOPOLOGY Bourgeois, F., Ekholm, T., Eliashberg, Y., Ganatra, S., Maydanskiy, M. 2012; 16 (1): 301-389

  View details for DOI 10.2140/gt.2012.16.301

  View details for Web of Science ID 000302610600006

• Topology of Spaces of S-Immersions Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry and Topology Eliashberg, Y., Mishachev, N. BIRKHAUSER VERLAG AG. 2012: 147–167

  View details for DOI 10.1007/978-0-8176-8277-4_7

  View details for Web of Science ID 000307264800008

• Symplectic homology product via Legendrian surgery PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Bourgeois, F., Ekholm, T., Eliashberg, Y. 2011; 108 (20): 8114-8121

  Abstract

  This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken by the authors [Bourgeois F, Ekholm T, Eliashberg Y (2009) arXiv:0911.0026] where the symplectic homology, as a vector space, was expressed in terms of the Legendrian homology algebra of the attaching spheres of critical handles. Here, we express the product and Batalin-Vilkovisky operator of symplectic homology in that context.

  View details for DOI 10.1073/pnas.1019102108

  View details for Web of Science ID 000290719600015

  View details for PubMedID 21518898

• Madsen-Weiss for geometrically minded topologists GEOMETRY & TOPOLOGY Eliashberg, Y., Galatius, S., Mishachev, N. 2011; 15 (1): 411-472

  View details for DOI 10.2140/gt.2011.15.411

  View details for Web of Science ID 000288607100002

• TOPOLOGICALLY TRIVIAL LEGENDRIAN KNOTS JOURNAL OF SYMPLECTIC GEOMETRY Eliashberg, Y., Fraser, M. 2009; 7 (2): 77-127

  View details for Web of Science ID 000265791200004

• Wrinkled Embeddings Conference on Foliations, Geometry and Topology held in honor of the 70th birthday of Paul Schweitzer Eliashberg, Y. M., Mishachev, N. M. AMER MATHEMATICAL SOC. 2009: 207–232

  View details for Web of Science ID 000275700400013

• Geometry of contact transformations and domains: orderability versus squeezing GEOMETRY & TOPOLOGY Eliashberg, Y., Kim, S. S., Polterovich, L. 2006; 10: 1635-1747

  View details for DOI 10.2140/gt.2006.10.1635

  View details for Web of Science ID 000243200400016

• A few remarks about symplectic filling GEOMETRY & TOPOLOGY Eliashberg, Y. 2004; 8: 277-293

  View details for Web of Science ID 000189187300006

• Compactness results in Symplectic Field Theory GEOMETRY & TOPOLOGY Bourgeois, F., Eliashberg, Y., Hofer, H., Wysocki, K., Zehnder, E. 2003; 7: 799-888

  View details for Web of Science ID 000189121500024

• Wrinkling of smooth mappings-II Wrinkling of embeddings and K. Igusa's theorem TOPOLOGY Eliashberg, Y. M., Mishachev, N. M. 2000; 39 (4): 711-732

  View details for Web of Science ID 000087274600003

• Partially ordered groups and geometry of contact transformations GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Polterovich, L. 2000; 10 (6): 1448-1476

  View details for Web of Science ID 000167421000003

• Introduction to symplectic field theory Meeting on Visions in Mathematics - Towards 2000 Eliashberg, Y., Givental, A., Hofer, H. BIRKHAUSER VERLAG AG. 2000: 560–673

  View details for Web of Science ID 000168273600005

• Symplectic topology in the nineties DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS Eliashberg, Y. 1998; 9 (1-2): 59-88

  View details for Web of Science ID 000075202800003

• Classification of topologically trivial Legendrian knots Workshop on Geometry, Topology and Dynamics Eliashberg, Y., Fraser, M. AMER MATHEMATICAL SOC. 1998: 17–51

  View details for Web of Science ID 000078842600002

• Wrinkling of smooth mappings and its applications .1. INVENTIONES MATHEMATICAE Eliashberg, Y., Mishachev, N. M. 1997; 130 (2): 345-369

  View details for Web of Science ID A1997YA91500006

• Lagrangian intersections and the stable Morse theory. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA Eliashberg, Y., Gromov, M. 1997; 11B: 289-326

  View details for Web of Science ID A1997XK58600022

• Symplectic geometry of plurisubharmonic functions NATO Advanced Study Institute / Seminaire de Mathematiques Superieures on Gauge Theory and Symplectic Geometry Eliashberg, Y. KLUWER ACADEMIC PUBL. 1997: 49–67

  View details for Web of Science ID A1997BH54B00002

• Local Lagrangian 2-knots are trivial ANNALS OF MATHEMATICS Eliashberg, Y., Polterovich, L. 1996; 144 (1): 61-76

  View details for Web of Science ID A1996VF65200003

• LAGRANGIAN INTERSECTIONS IN CONTACT GEOMETRY GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Hofer, H., Salamon, D. 1995; 5 (2): 244-269

  View details for Web of Science ID A1995RK79400005

• NEW APPLICATIONS OF LUTTINGER SURGERY COMMENTARII MATHEMATICI HELVETICI Eliashberg, Y., Polterovich, L. 1994; 69 (4): 512-522

  View details for Web of Science ID A1994PX78300002

• UNKNOTTEDNESS OF LAGRANGIAN SURFACES IN SYMPLECTIC 4-MANIFOLDS DUKE MATHEMATICAL JOURNAL Eliashberg, Y., Polterovich, L. 1993; 72 (2): 295-301

  View details for Web of Science ID A1993MK51300012

• EMBEDDINGS OF STEIN MANIFOLDS OF DIMENSION-N INTO THE AFFINE SPACE OF DIMENSION 3N/2+1 ANNALS OF MATHEMATICS Eliashberg, Y., Gromov, M. 1992; 136 (1): 123-135

  View details for Web of Science ID A1992JG87100003

• CONTACT 3-MANIFOLDS 20 YEARS SINCE MARTINET,J. WORK COLLOQUIUM ON GEOMETRY : FOLIATIONS AND SINGULARITIES, IN MEMORY OF CLAUDE GODBILLON AND JEAN MARTINET Eliashberg, Y. ANNALES INST FOURIER. 1992: 165–92

  View details for Web of Science ID A1992JH11900007

• THE DIAMETER OF THE SYMPLECTOMORPHISM GROUP IS INFINITE INVENTIONES MATHEMATICAE Eliashberg, Y., Ratiu, T. 1991; 103 (2): 327-340

  View details for Web of Science ID A1991ER29100004

• ON SYMPLECTIC-MANIFOLDS WITH SOME CONTACT PROPERTIES JOURNAL OF DIFFERENTIAL GEOMETRY Eliashberg, Y. 1991; 33 (1): 233-238

  View details for Web of Science ID A1991FC53300008

• THE SPECTRAL GEOMETRY OF FLAT DISKS DUKE MATHEMATICAL JOURNAL Brooks, R., Eliashberg, Y., McMullen, C. 1990; 61 (1): 119-131

  View details for Web of Science ID A1990DW69000006