Found 791 Documents (Results 1–100)
The Minkowski billiard characterization of the EHZ-capacity of convex Lagrangian products. (English) Zbl 07920496
MSC:
37C83
The integral manifolds of the 4 body problem with equal masses: bifurcations at infinity. (English) Zbl 07920465
The Morrison-Kawamata cone conjecture for singular symplectic varieties. (English) Zbl 07918124
Reviewer: Piotr Pokora (Kraków)
Topology of the moduli spaces of Higgs bundles over abelian varieties. (English) Zbl 07915453
Gothen, Peter (ed.) et al., Moduli spaces and vector bundles – new trends. VBAC 2022 conference in honor of Peter Newstead’s 80th birthday, University of Warwick, Coventry, United kingdom, July 25–29, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 803, 23-37 (2024).
Singular contact varieties. (English) Zbl 07901741
Research of the structure of the Liouville foliation of an integrable elliptical billiard with polynomial potential. (Russian. English summary) Zbl 07879124
Torus knot filtered embedded contact homology of the tight contact 3-sphere. (English) Zbl 07873625
Reviewer: Johan Asplund (Stony Brook)
Outer billiards in the spaces of oriented geodesics of the three-dimensional space forms. (English) Zbl 07870406
On infinitely many foliations by caustics in strictly convex open billiards. (English) Zbl 07861155
Reviewer: Daniel Jaud (München)
Isolated hypersurface singularities, spectral invariants, and quantum cohomology. (English) Zbl 1543.14026
Reviewer: Mee Seong Im (Annapolis)
Higher order terms of Mather’s \(\beta\)-function for symplectic and outer billiards. (English) Zbl 07845473
Common singularities of commuting vector fields. (English) Zbl 07842687
Reviewer: Alcides De Carvalho (Maceió)
Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions. (English) Zbl 07842513
Reviewer: Zdzisław Dzedzej (Gdańsk)
On fillings of contact links of quotient singularities. (English) Zbl 07824483
Reviewer: Austin Christian (San Luis Obispo)
Another billiard problem. (English) Zbl 1540.37084
Coregularity of Fano varieties. (English) Zbl 1542.14003
Reviewer: Zhining Liu (Daejeon)
On differential equations of integrable billiard tables. (English) Zbl 1535.37034
Reviewer: Daniel Jaud (München)
Berglund-Hübsch mirrors of invertible curve singularities via Floer theory. arXiv:2410.14678
Preprint, arXiv:2410.14678 [math.SG] (2024).
Logarithmic Enriques varieties. arXiv:2409.09160
Preprint, arXiv:2409.09160 [math.AG] (2024).
Symplectic singularities arising from algebras of symmetric tensors. arXiv:2409.07264
Preprint, arXiv:2409.07264 [math.AG] (2024).
Magic Billiards: the Case of Elliptical Boundaries. arXiv:2409.03158
Preprint, arXiv:2409.03158 [math.DS] (2024).
Singular symplectic surfaces. arXiv:2407.21173
Preprint, arXiv:2407.21173 [math.AG] (2024).
Toric models of smooth Fano threefolds. arXiv:2407.09420
Preprint, arXiv:2407.09420 [math.AG] (2024).
\( \mathbb{Z}_{2} \)- homology of the orbit spaces \( G_{n,2}/ T^{n} \). arXiv:2406.11625
Preprint, arXiv:2406.11625 [math.AG] (2024).
On isolated hypersurface singularities: algebra-geometric and symplectic aspects. arXiv:2405.03475
Preprint, arXiv:2405.03475 [math.AG] (2024).
Regular homotopy classes of links of simple singularities and immersions associated with their Dynkin diagrams. arXiv:2405.02513
Preprint, arXiv:2405.02513 [math.GT] (2024).
Symplectic cohomology of quasihomogeneous \(cA_n\) singularities. arXiv:2404.17301
Preprint, arXiv:2404.17301 [math.SG] (2024).
Semi-Local Exotic Lagrangian Tori in Dimension Four. arXiv:2403.00408
Preprint, arXiv:2403.00408 [math.SG] (2024).
Density of a thin film billiard reflection pseudogroup in a Hamiltonian symplectomorphism pseudogroup. (English) Zbl 07893788
Reviewer: William J. Satzer Jr. (St. Paul)
Billiards of variable configuration and billiards with slipping in Hamiltonian geometry and topology. (English) Zbl 07853833
Billiards and integrable systems. (English. Russian original) Zbl 1541.37029
Russ. Math. Surv. 78, No. 5, 881-954 (2023); translation from Usp. Mat. Nauk 78, No. 5, 93-176 (2023).
Floer cohomology, singularities, and birational geometry. (English) Zbl 1540.53104
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2616-2637 (2023).
Reviewer: Vladimir P. Kostov (Nice)
Rambling around the Milnor fiber. (English) Zbl 1532.14020
Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 493-514 (2023).
Modeling the degenerate singularities of integrable billiard systems by billiard books. (English. Russian original) Zbl 1537.37065
Mosc. Univ. Math. Bull. 78, No. 5, 207-215 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 5, 3-10 (2023).
Classification of singularities of the Liouville foliation of an integrable elliptical Billiard with a potential of fourth degree. (English) Zbl 1533.37122
HMS symmetries and hypergeometric systems. (English) Zbl 1523.14036
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 489-510 (2023).
Lefschetz fibrations, open books, and symplectic fillings of contact 3-manifolds. (English) Zbl 1526.57015
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 395-412 (2023).
Corrigendum to: “Mirror symmetry for extended affine Weyl groups”. (Corrigendum: “Symétrie miroir pour les groupes de Weyl affines étendus”.) (English. French summary) Zbl 1523.53088
Moduli spaces for the fifth Painlevé equation. (English) Zbl 1532.34093
Reviewer: Dmitry Artamonov (Moskva)
Symplectic cohomology of compound Du Val singularities. (Cohomologie symplectique des singularités cDVs.) (English. French summary) Zbl 1525.14044
Reviewer: Vladimir P. Kostov (Nice)
A new family of isolated symplectic singularities with trivial local fundamental group. (English) Zbl 1521.14006
Reviewer: Vladimir P. Kostov (Nice)
Essays in geometry. Dedicated to Norbert A’Campo. (English) Zbl 1519.57002
IRMA Lectures in Mathematics and Theoretical Physics 34. Berlin: European Mathematical Society (ISBN 978-3-98547-024-2/hbk; 978-3-98547-524-7/ebook). x, 1018 p. (2023).
MSC:
57-06
58-06
53-06
14-06
32-06
00B15
00B30
01-02
01-06
01A70
14B05
34M35
57K20
57R45
32S05
32S55
57K12
57R17
57K30
57K45
00A30
57K10
58K30
51M15
53C70
Contact structures with singularities: from local to global. (English) Zbl 1529.53072
Reviewer: Liviu Popescu (Craiova)
Arnold diffusion in multidimensional convex billiards. (English) Zbl 1533.37124
Reviewer: João Lopes Dias (Lisboa)
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties. (English) Zbl 07730046
Reviewer: Mee Seong Im (Annapolis)
The McKay correspondence for isolated singularities via Floer theory. (English) Zbl 1528.53081
Reviewer: Sergiy Koshkin (Houston)
Symplectic leaves for generalized affine Grassmannian slices. (English. French summary) Zbl 1518.14072
Reviewer: Mee Seong Im (Annapolis)
A Brunn-Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories. (English) Zbl 1527.53072
Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus. (English) Zbl 1542.37053
Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. (English) Zbl 1526.37002
Memoirs of the American Mathematical Society 1424. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6439-4/pbk; 978-1-4704-7540-6/ebook). v, 89 p. (2023).
Reviewer: Manuel de León (Madrid)
Unexpected Stein fillings, rational surface singularities and plane curve arrangements. (English) Zbl 1523.14066
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Topology and geometry of intersections of ellipsoids in \(\mathbb{R}^n\). (English) Zbl 1534.53001
Grundlehren der mathematischen Wissenschaften 361. Cham: Springer (ISBN 978-3-031-28363-5/hbk; 978-3-031-28366-6/pbk; 978-3-031-28364-2/ebook). xiii, 282 p. (2023).
Reviewer: Ivailo M. Mladenov (Sofia)
Viterbo’s conjecture as a worm problem. (English) Zbl 1518.37042
Reviewer: William J. Satzer Jr. (St. Paul)
Extremal area of polygons sliding along curves. (English) Zbl 1516.37034
Reviewer: Daniel Jaud (München)
Billiard tables with rotational symmetry. (English) Zbl 1516.37032
Reviewer: Daniel Jaud (München)
Cosmic web & caustic skeleton: non-linear constrained realizations – 2D case studies. (English) Zbl 1520.83084
Rational homology disk smoothings and Lefschetz fibrations. (English) Zbl 1525.57007
Reviewer: Mohan Bhupal (Ankara)
Deformations of rational curves on primitive symplectic varieties and applications. (English) Zbl 1517.14026
Reviewer: Renjie Lyu (Beijing)
Locally maximising orbits for the non-standard generating function of convex billiards and applications. (English) Zbl 1521.37040
Reviewer: Daniel Jaud (München)
Small toric resolutions of toric varieties of string polytopes with small indices. (English) Zbl 1518.14070
Reviewer: Xiaobo Zhuang (Hangzhou)
Splitting Algebraic Singular Fibrations via Perturbation of Branch Covers. arXiv:2311.00264
Preprint, arXiv:2311.00264 [math.GT] (2023).
Floer theory for the variation operator of an isolated singularity. arXiv:2310.17453
Preprint, arXiv:2310.17453 [math.SG] (2023).
The Arc-Floer conjecture for plane curves. arXiv:2308.00051
Preprint, arXiv:2308.00051 [math.AG] (2023).
Periodic Trajectories and Topology of the Integrable Boltzmann System. arXiv:2307.04991
Preprint, arXiv:2307.04991 [math.DS] (2023).
The complete classification of isotopy classes of degree three symplectic curves in \(\mathbb{CP}^2\) via a novel algebraic theory of braid monodromy. arXiv:2303.05281
Preprint, arXiv:2303.05281 [math.SG] (2023).
Singular fibers in algebraic fibrations of genus 2 and their monodromy factorizations. arXiv:2303.01554
Preprint, arXiv:2303.01554 [math.GT] (2023).
Capacities of billiard tables and \(S^1\)-equivariant loop space homology. (English) Zbl 07910427
Hofer, Helmut (ed.) et al., Symplectic geometry. A festschrift in honour of Claude Viterbo’s 60th birthday. In 2 volumes. Cham: Birkhäuser. 747-774 (2022).
Symplectic singularities of differentiable mappings. (English) Zbl 07817745
Cao, Huai-Dong (ed.) et al., Differential geometry, Calabi-Yau theory, and general relativity. Part 2. Lectures and articles celebrating the 70th birthday of Shing-Tung Yau, Harvard University, Cambridge, MA, USA, May 2019. Somerville, MA: International Press. Surv. Differ. Geom. 24, 117-172 (2022).
Reviewer: Maria Aparecida Soares Ruas (São Carlos)
Symplectic resolutions, symplectic duality, and Coulomb branches. (English) Zbl 1531.16013
Reviewer: Mee Seong Im (Annapolis)
Homological mirror symmetry for Milnor fibers via moduli of \(A_\infty\)-structures. (English) Zbl 1539.14079
Reviewer: Dahye Cho (Seoul)
Evolutionary force billiards. (English. Russian original) Zbl 1526.37070
Izv. Math. 86, No. 5, 943-979 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 116-156 (2022).
Realization of geodesic flows with a linear first integral by billiards with slipping. (English. Russian original) Zbl 1526.37076
Sb. Math. 213, No. 12, 1645-1664 (2022); translation from Mat. Sb. 213, No. 12, 31-52 (2022).
Billiard books of low complexity and realization of Liouville foliations of integrable systems. (Russian. English summary) Zbl 1525.37061
On uniqueness of symplectic fillings of links of some surface singularities. (English) Zbl 1526.57016
Baldwin, John A. (ed.) et al., Gauge theory and low-dimensional topology. Progress and interaction. Proceedings of the sixth Banff International Research Station, BIRS, workshop on Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4, virtual, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 5, 269-284 (2022).
Reviewer: Vitalijs Brejevs (Wien)
Caustics of Lagrangian homotopy spheres with stably trivial Gauss map. (English) Zbl 1518.53059
Reviewer: Tseleung So (London, Ontario)
Homological mirror symmetry for log Calabi-Yau surfaces. (English) Zbl 1518.14057
Reviewer: Maxim Jeffs (Cambridge)
Topology of isoenergy 5-surfaces of a three-axial ellipsoid with a Hooke potential. (English. Russian original) Zbl 1516.37065
Mosc. Univ. Math. Bull. 77, No. 6, 277-289 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 6, 21-31 (2022).
Fold maps on small dimensional manifolds with prescribed singular set. (English) Zbl 1517.57018
Reviewer: Raúl Oset Sinha (València)
Penrose’s 1965 singularity theorem: from geodesic incompleteness to cosmic censorship. (English) Zbl 1515.83185
Topology of Liouville foliations of integrable billiards on table-complexes. (English) Zbl 1508.37070
Symplectic resolutions for multiplicative quiver varieties and character varieties for punctured surfaces. (English) Zbl 1498.53107
Baranovsky, Vladimir (ed.) et al., Representation theory and algebraic geometry. A conference celebrating the birthdays of Sasha Beilinson and Victor Ginzburg, Chicago, IL, USA, August 21–25, 2017. Cham: Birkhäuser. Trends Math., 393-459 (2022).
The symplectic isotopy problem for rational cuspidal curves. (English) Zbl 1532.57015
Reviewer: Jun Zhang (Hefei)
Topology of integrable billiard in an ellipse in the Minkowski plane with the Hooke potential. (English. Russian original) Zbl 1504.37075
Mosc. Univ. Math. Bull. 77, No. 1, 7-19 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 1, 8-18 (2022).
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