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79 papers in math.SG · page 1
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Floer maps block symplectic structures on Mazur manifolds
Mazur manifolds and symplectic structures
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Brieskorn spheres block rational homology ball fillings
Brieskorn spheres and rational homology ball symplectic fillings
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Legendrian category constructed for shifted contact stacks
A Derived Legendrian Category for Shifted Contact Stacks
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Elementary invariants prove Reeb orbit results in 3D
Elementary spectral invariants and three-dimensional Reeb dynamics
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Reeb orbits grow like T/log(T) on star-shaped hypersurfaces
On the growth rate of Reeb orbit on star-shaped hypersurfaces
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Non-Abelian dynamics on Veech surfaces lack zero Lyapunov exponents
Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
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Edge conditions from symmetries determine hyperbolic space groups
Hyperbolic space groups and edge conditions for their domains
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Edge conditions pinpoint hyperbolic realizations for simplicial domains
Hyperbolic space groups and edge conditions for their domains
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Symplectic affine rulings recover resolutions of weighted projective planes
Symplectic log Kodaira dimension $-\infty$, Hirzebruch--Jung strings and weighted projective planes
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Metriplectic flows on jet bundles conserve energy while entropy rises
Metriplectic dynamical systems on contact manifolds
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Exact immersed Lagrangians generated by cocores
Generation of immersed Lagrangians by cocores
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Proper modules generate compact Fukaya categories of plumbings
Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
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QHD degenerations of elliptic surfaces receive complete classification
Rational homology disk degenerations of elliptic surfaces
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Bulk-deformed symplectic cohomology computes its complex cobordism lift
Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
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Friction oscillator map is exact symplectic on non-sticking set
Mixed Global Dynamics of the Forced Vibro-Impact Oscillator with Coulomb Friction and its Symplectic Structure, KAM Tori, and Persistence
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Exact symplectic map found for vibro-impact oscillator with friction
Mixed Global Dynamics of the Forced Vibro-Impact Oscillator with Coulomb Friction and its Symplectic Structure, KAM Tori, and Persistence
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Local vector bundles generate free Poisson 2-algebra bundles
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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Equivariant bundles yield free commutative 2-algebras
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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Local vector bundles generate free commutative 2-algebra bundles
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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Relatively spin Lagrangians determine open-closed DM field theories
Open-closed Deligne-Mumford field theories: construction
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Ergodic measures on Deroin-Tholozan varieties are finite orbits or Liouville
Invariant measures for Deroin-Tholozan representations
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Local Loday splits give direct proof of Courant theorem
Local decomposition and linearization of Loday brackets
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Quotient pullback equates diffeological de Rham forms to invariant basics
De Rham Cohomology of Certain Diffeological Quotients
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Every 4D symplectic small cover is aspherical
Symplectic small covers in dimension four
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Phase space geometry forces quantum uncertainty
On Quantum Indeterminacy
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Circle immersions realize nearly all small associative algebras
Curves on surfaces and moduli of associative algebras
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Immersed circles realize all but one low-dimensional associative algebra
Curves on surfaces and moduli of associative algebras
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Unique negative twisting number classifies fillable contacts on negative Seifert spaces
Fillable structures on negative-definite Seifert fibred spaces
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Hat invariant nonzero but plus version zero for some tight structures
The hat and plus version of the Heegaard Floer contact invariant are not equivalent
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Filtered HF homology classifies negative-twisting contact structures
Heegaard Floer homology and maximal twisting numbers
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Minimal discs with uniform Maslov sign are images of holomorphic discs
The existence criterion of holomorphic discs for higher $A_\infty$ operations via minimal discs
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Every smooth Jordan curve inscribes every isosceles trapezoid
Inscriptions of Isosceles Trapezoids in Jordan Curves
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Annular braid group acts on Fukaya category for A_{n-1} singularity
Monodromy action of mirror stops for toric Calabi-Yau surfaces
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Normal rulings block 1.7M hard unknots from max-tb fronts
Hard Legendrian unknots
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Sasakian threefolds give symplectic forms to character varieties
Symplectic structure on the character varieties of Sasakian threefolds
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Tropical graphs count holomorphic disks bounding almost toric Lagrangians
Holomorphic disks and tropical Lagrangians
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Weighted non-resonance condition linearizes vector fields formally
Weighted linearization of vector fields via a formal Moser trick
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Weighted non-resonance yields formal vector field linearization
Weighted linearization of vector fields via a formal Moser trick
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SYZ mirror symmetry proves A-brane quantization isomorphism
Brane quantization and SYZ mirror symmetry
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Mirror symmetry equates endomorphism algebras of dual branes
Brane quantization and SYZ mirror symmetry
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Concurrent Dirac structures stay concurrent after reduction
Concurring reduction schemes for Dirac structures
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Three DGA equivalence problems shown to be undecidable
Undecidability problems for semifree DG algebras
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Small cross-polytope uniquely determines rigid toric contact manifold
Contact flexibility and rigidity for toric Gorenstein prequantizations and Ehrhart theory of toric diagrams
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Q-manifolds construct BV actions via algebroid geometry
Q-Manifolds and Sigma Models
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Local triviality equals complete connections for source-proper groupoid families
Multiplicative Ehresmann connections for Lie groupoid fibrations
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Dividing set yields isotopy-invariant algebra for Legendrian knots
Invariants of Legendrian knots in thickened convex surfaces
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New DGA distinguishes Legendrian knots in thickened convex surfaces
Invariants of Legendrian knots in thickened convex surfaces
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The paper defines an SL_n(Z)-invariant tropical zeta function for convex domains that…
Residues of a tropical zeta function for convex domains
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The paper poses the question of packing uncountably many Lagrangian submanifolds into a…
A note on the cardinality of Lagrangian packings
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Bordered modules compute real Floer homology
Real bordered Floer homology