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Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, 12/2018, Volume 67, Issue 3, pp. 409 - 419
...Rend. Circ. Mat. Palermo, II. Ser (2018) 67:409–419 https://doi.org/10.1007/s12215-017-0322-x On equivariant formal deformation theory Stefan Schröer 1... 
Formal deformation theory | Fibered categories | Group actions
Journal Article
2017, Mathematical surveys and monographs, ISBN 1470435691, Volume 221, 2 volumes
Book
Georgian mathematical journal, ISSN 1572-9176, 2018, Volume 25, Issue 4, pp. 529 - 544
Using homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algebra over a field of characteristic zero... 
Kuranishi method | Deformation theory | 58K60 | formal deformation | 32S60 | 16S80 | 13D10 | 14B12 | 32G05 | 14B07 | 14D15 | deformation controlled by a differential graded Lie algebra | miniversal deformation | 32G08 | COMPLEX | YANG-MILLS CONNECTIONS | BUNDLES | SINGULARITIES | COALGEBRAS | LIE-ALGEBRAS | MATHEMATICS | SURFACE | GEOMETRY
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 12/2018, Volume 28, Issue 4, pp. 2984 - 3047
Journal Article
2014, Mathematical surveys and monographs, ISBN 9781470410148, Volume no. 195., ix, 387
Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties... 
Abelian varieties | Multiplication, Complex | Lifting theory
Book
Reviews in Mathematical Physics, ISSN 0129-055X, 02/2005, Volume 17, Issue 1, pp. 15 - 75
In this review we discuss various aspects of representation theory in deformation quantization starting with a detailed introduction to the concepts of states as positive functionals and the GNS construction... 
States | Morita equivalence | Representation theory | Deformation quantization | COTANGENT BUNDLES | RINGS | QUANTUM-FIELD THEORY | PHYSICS, MATHEMATICAL | morita equivalence | ANALYTIC-FUNCTIONS | states | FORMAL MORITA EQUIVALENCE | NONCOMMUTATIVE GAUGE-THEORY | deformation quantization | GNS REPRESENTATIONS | CONSTRUCTION | representation theory | FEDOSOV STAR PRODUCTS | HILBERT-SPACE
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2004, Volume 182, Issue 2, pp. 204 - 277
In this paper we define a cohomology theory for an arbitrary K-linear semistrict semigroupal 2-category ( C... 
Pseudofunctors | Formal deformation | Monoidal 2-categories | 4-MANIFOLD INVARIANTS | MATHEMATICS | monoidal 2-categories | pseudofunctors | BICATEGORIES | formal deformation | 3-MANIFOLDS | STATE-SUM INVARIANTS | SPHERICAL 2-CATEGORIES | HOPF | CATEGORIES
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2005, Volume 195, Issue 1, pp. 102 - 164
.... A few applications including the description of deformations of a scheme and equivariant deformations are considered... 
Model category | Formal deformations | Presheaves of algebras | Dwyer–Kan localization | Dwyer-Kan localization | MATHEMATICS | Dwyer Kan localization | presheaves of algebras | COMPLEXES | formal deformations | model category | HOMOTOPY ALGEBRAS
Journal Article
Journal of Algebra, ISSN 0021-8693, 2010, Volume 324, Issue 7, pp. 1483 - 1491
.... In the second section, consequences for the deformation theory of hom-algebras with surjective twisting map are discussed. 
Nonassociative rings and algebras | Formal twistings | Nonstandard formal deformations | Hom-deformation theory | Hom-associative structures
Journal Article
Letters in mathematical physics, ISSN 1573-0530, 2019, Volume 109, Issue 8, pp. 1747 - 1775
We explore extensions to (n)-Chern-Simons theory via the asymptotic properties of the Hitchin connection and its relation to Toeplitz operators developed previously by the first named author... 
Geometric quantisation | Formal Hitchin-Witten connection | Complex Chern-Simons theory | KAHLER-MANIFOLDS | FIELD-THEORY | INVARIANTS | GEOMETRIC-QUANTIZATION | QUANTUM | PHYSICS, MATHEMATICAL | MODULAR FUNCTORS | DEFORMATION QUANTIZATION | TOEPLITZ QUANTIZATION | OPERATORS | Mathematics - Differential Geometry
Journal Article
Advances in Mathematics, ISSN 0001-8708, 06/2019, Volume 349, pp. 869 - 910
Given a complex variety X, a linear algebraic group G and a representation ρ of the fundamental group π1(X,x) into G, we develop a framework for constructing a... 
Hodge theory | [formula omitted] algebras | Representation varieties | Complex algebraic geometry | Formal deformation theory | Fundamental groups | MATHEMATICS | L-infinity algebras | Algebraic Geometry | Mathematics
Journal Article
2006, 1. Aufl., Grundlehren der mathematischen Wissenschaften, ISBN 3540306080, Volume 334, xi, 339
.... Today deformation theory is highly formalized and has ramified widely. This self-contained account of deformation theory in classical algebraic geometry... 
Schemes (Algebraic geometry) | Homotopy theory | Algebraic Geometry | Commutative Rings and Algebras | Mathematics
Book
Geometric and Functional Analysis, ISSN 1016-443X, 4/2008, Volume 18, Issue 1, pp. 184 - 221
A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of a deformation with respect to the first algebra, endowed with a trivialization with respect to the second... 
Primary 14d05 | Secondary 32g05, 17b56 | differential graded Lie algebra | Hilbert scheme | Analysis | Formal deformation theory | Mathematics | Bernoulli number | Differential graded Lie algebra | MATHEMATICS | HOLOMORPHIC MAPS | CONNECTIONS | formal deformation theory
Journal Article
Journal of Algebra, ISSN 0021-8693, 01/2016, Volume 445, pp. 78 - 102
...) through local homology. We discuss its basic properties and establish the basics results of a deformation theory, providing a characterization of smooth and étale morphisms... 
Cotangent complex | Formal scheme | Local homology | Deformation | Lifting | MATHEMATICS | COMPLEX | ALGEBRAIC STACKS
Journal Article
Letters in mathematical physics, ISSN 1573-0530, 2018, Volume 108, Issue 9, pp. 2055 - 2097
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 10/2020, Volume 224, Issue 10, p. 106382
... of elliptic cohomology theories. These orientations correspond to coordinates on deformations of formal groups that are compatible with norm maps along descent. 
Complex orientation | Morava E-theory | Deformation of a formal group | Norm coherence | MATHEMATICS, APPLIED | FINITE SUBGROUPS | POWER OPERATIONS | ISOGENIES | GROUP LAWS | MATHEMATICS | COHOMOLOGY | ORIENTATION | SPECTRA
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 07/2004, Volume 69, Issue 1, pp. 223 - 235
Journal Article
Manuscripta Mathematica, ISSN 0025-2611, 11/2011, Volume 136, Issue 3, pp. 345 - 363
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 8/2013, Volume 52, Issue 8, pp. 2910 - 2942
Journal Article
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