-
1
-
-
0000782811
-
The geometry of the master equation and topological quantum field theory
-
MR1432574
-
M Alexandrov, A Schwarz, O Zaboronsky, M Kontsevich, The geometry of the master equation and topological quantum field theory, Internat. J. Modern Phys. A 12 (1997) 1405-1429 MR1432574
-
(1997)
Internat. J. Modern Phys. A
, vol.12
, pp. 1405-1429
-
-
Alexandrov, M.1
Schwarz, A.2
Zaboronsky, O.3
Kontsevich, M.4
-
2
-
-
0000918904
-
Harrison homology, Hochschild homology and triples
-
MR0220799
-
M Barr, Harrison homology, Hochschild homology and triples, J. Algebra 8 (1968) 314-323 MR0220799
-
(1968)
J. Algebra
, vol.8
, pp. 314-323
-
-
Barr, M.1
-
3
-
-
48149104386
-
Transferring homotopy commutative algebraic structures
-
MR2440265
-
X Z Cheng, E Getzler, Transferring homotopy commutative algebraic structures, J. Pure Appl. Algebra 212 (2008) 2535-2542 MR2440265
-
(2008)
J. Pure Appl. Algebra
, vol.212
, pp. 2535-2542
-
-
Cheng, X.Z.1
Getzler, E.2
-
4
-
-
4243056625
-
On a theorem of Kontsevich
-
MR2026331
-
J Conant, K Vogtmann, On a theorem of Kontsevich, Algebr. Geom. Topol. 3 (2003) 1167-1224 MR2026331
-
(2003)
Algebr. Geom. Topol.
, vol.3
, pp. 1167-1224
-
-
Conant, J.1
Vogtmann, K.2
-
6
-
-
0036758167
-
Deformation theory of infinity algebras
-
MR1935035
-
A Fialowski, M Penkava, Deformation theory of infinity algebras, J. Algebra 255 (2002) 59-88 MR1935035
-
(2002)
J. Algebra
, vol.255
, pp. 59-88
-
-
Fialowski, A.1
Penkava, M.2
-
7
-
-
0001523110
-
The cohomology structure of an associative ring
-
MR0161898
-
M Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78 (1963) 267-288 MR0161898
-
(1963)
Ann. of Math.
, vol.78
, Issue.2
, pp. 267-288
-
-
Gerstenhaber, M.1
-
8
-
-
1842698673
-
A Hodgetype decomposition for commutative algebra cohomology
-
MR917209
-
M Gerstenhaber, S D Schack, A Hodgetype decomposition for commutative algebra cohomology, J. Pure Appl. Algebra 48 (1987) 229-247 MR917209
-
(1987)
J. Pure Appl. Algebra
, vol.48
, pp. 229-247
-
-
Gerstenhaber, M.1
Schack, S.D.2
-
10
-
-
0037085530
-
A Darboux theorem for Hamiltonian operators in the formal calculus of variations
-
MR1885831
-
E Getzler, A Darboux theorem for Hamiltonian operators in the formal calculus of variations, Duke Math. J. 111 (2002) 535-560 MR1885831
-
(2002)
Duke Math. J.
, vol.111
, pp. 535-560
-
-
Getzler, E.1
-
12
-
-
84972576237
-
A∞-algebras and the cyclic bar complex
-
MR1046565
-
E Getzler, J D S Jones, A∞-algebras and the cyclic bar complex, Illinois J. Math. 34 (1990) 256-283 MR1046565
-
(1990)
Illinois J. Math.
, vol.34
, pp. 256-283
-
-
Getzler, E.1
Jones, J.D.S.2
-
13
-
-
0001384030
-
Cyclic operads and cyclic homology
-
from, (editor S T Yau), Conf. Proc. Lecture Notes Geom. Topology, IV, Int. Press, MR1358617
-
E Getzler, M M Kapranov, Cyclic operads and cyclic homology, from: Geometry, topology, & physics (editor S T Yau), Conf. Proc. Lecture Notes Geom. Topology, IV, Int. Press (1995) 167-201 MR1358617
-
(1995)
Geometry, Topology, & Physics
, pp. 167-201
-
-
Getzler, E.1
Kapranov, M.M.2
-
14
-
-
0035535890
-
Noncommutative symplectic geometry, quiver varieties, and operads
-
MR1839485
-
V Ginzburg, Noncommutative symplectic geometry, quiver varieties, and operads, Math. Res. Lett. 8 (2001) 377-400 MR1839485
-
(2001)
Math. Res. Lett.
, vol.8
, pp. 377-400
-
-
Ginzburg, V.1
-
15
-
-
51249177029
-
The deformation theory of representations of fundamental groups of compact Kähler manifolds
-
MR972343
-
W M Goldman, J J Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Inst. Hautes Études Sci. Publ. Math. (1988) 43-96 MR972343
-
(1988)
Inst. Hautes Études Sci. Publ. Math.
, pp. 43-96
-
-
Goldman, W.M.1
Millson, J.J.2
-
16
-
-
18644385348
-
On the classification of Moore algebras and their deformations
-
MR2061569
-
A Hamilton, On the classification of Moore algebras and their deformations, Homology Homotopy Appl. 6 (2004) 87-107 MR2061569
-
(2004)
Homology Homotopy Appl.
, vol.6
, pp. 87-107
-
-
Hamilton, A.1
-
17
-
-
33645698537
-
Superanalogue of Kontsevich's theorem on graph homology
-
MR2223762
-
A Hamilton, A superanalogue of Kontsevich's theorem on graph homology, Lett. Math. Phys. 76 (2006) 37-55 MR2223762
-
(2006)
Lett. Math. Phys.
, vol.76
, pp. 37-55
-
-
Hamilton, A.1
-
18
-
-
63649097423
-
Characteristic classes of A∞-algebras
-
MR2395368
-
A Hamilton, A Lazarev, Characteristic classes of A∞-algebras, J. Homotopy Relat. Struct. 3 (2008) 65-111 MR2395368
-
(2008)
J. Homotopy Relat. Struct.
, vol.3
, pp. 65-111
-
-
Hamilton, A.1
Lazarev, A.2
-
19
-
-
84968466891
-
Commutative algebras and cohomology
-
MR0142607
-
D K Harrison, Commutative algebras and cohomology, Trans. Amer. Math. Soc. 104 (1962) 191-204 MR0142607
-
(1962)
Trans. Amer. Math. Soc.
, vol.104
, pp. 191-204
-
-
Harrison, D.K.1
-
20
-
-
1842779829
-
Descent of Deligne groupoids
-
MR1439623
-
V Hinich, Descent of Deligne groupoids, Internat. Math. Res. Notices (1997) 223-239 MR1439623
-
(1997)
Internat. Math. Res. Notices
, pp. 223-239
-
-
Hinich, V.1
-
21
-
-
0009027411
-
The algebraic structure in the homology of an A(∞)-algebra
-
MR720689
-
T V Kadeishvili, The algebraic structure in the homology of an A(∞)-algebra, Soobshch. Akad. Nauk Gruzin. SSR 108 (1982) MR720689
-
(1982)
Soobshch. Akad. Nauk Gruzin. SSR.
, pp. 108
-
-
Kadeishvili, T.V.1
-
22
-
-
0032217874
-
Noncommutative geometry based on commutator expansions
-
MR1662244
-
M Kapranov, Noncommutative geometry based on commutator expansions, J. Reine Angew. Math. 505 (1998) 73-118 MR1662244
-
(1998)
J. Reine Angew. Math.
, vol.505
, pp. 73-118
-
-
Kapranov, M.1
-
23
-
-
0003356644
-
Quantum groups
-
Springer, MR1321145
-
C Kassel, Quantum groups, Graduate Texts in Math. 155, Springer (1995) MR1321145
-
(1995)
Graduate Texts In Math.
, vol.155
-
-
Kassel, C.1
-
24
-
-
0007370748
-
Introduction to A-infinity algebras and modules
-
MR1854636
-
B Keller, Introduction to A-infinity algebras and modules, Homology Homotopy Appl. 3 (2001) 1-35 MR1854636
-
(2001)
Homology Homotopy Appl.
, vol.3
, pp. 1-35
-
-
Keller, B.1
-
25
-
-
0000695814
-
Formal (non)commutative symplectic geometry
-
from, (editors L Corwin, I Gel ″fand, J Lepowsky), Birkh äuser
-
M Kontsevich, Formal (non)commutative symplectic geometry, from: The Gel″ fand Mathematical Seminars, 1990-1992 (editors L Corwin, I Gel ″fand, J Lepowsky), Birkh äuser (1993) 173-187 MR1247289
-
(1993)
The Gel′ Fand Mathematical Seminars, 1990-1992
, pp. 173-187
-
-
Kontsevich, M.1
-
26
-
-
0001499677
-
Feynman diagrams and lowdimensional topology
-
from, First European Congress of Mathematics, Vol. II (Paris, 1992), Birkhäuser, MR1341841
-
M Kontsevich, Feynman diagrams and lowdimensional topology, from: First European Congress of Mathematics, Vol. II (Paris, 1992), Progr. Math. 120, Birkhäuser (1994) 97-121 MR1341841
-
(1994)
Progr. Math.
, vol.120
, pp. 97-121
-
-
Kontsevich, M.1
-
27
-
-
3843152796
-
Deformation quantization of Poisson manifolds
-
MR2062626
-
M Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003) 157-216 MR2062626
-
(2003)
Lett. Math. Phys.
, vol.66
, pp. 157-216
-
-
Kontsevich, M.1
-
28
-
-
0007156109
-
Noncommutative smooth spaces
-
from, (editors I M Gelfand, V S Retakh), Birkhäuser, MR1731635
-
M Kontsevich, A L Rosenberg, Noncommutative smooth spaces, from: The Gelfand Mathematical Seminars, 1996-1999 (editors I M Gelfand, V S Retakh), Birkhäuser (2000) 85-108 MR1731635
-
(2000)
The Gelfand Mathematical Seminars, 1996-1999
, pp. 85-108
-
-
Kontsevich, M.1
Rosenberg, A.L.2
-
30
-
-
72949089811
-
-
I K\vríž, Astérisque, MR1361938
-
I K\vríž, J P May, Operads, algebras, modules and motives, Astérisque (1995) MR1361938
-
(1995)
Operads, Algebras, Modules and Motives
-
-
May, J.P.1
-
31
-
-
18644381086
-
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras
-
MR1989615
-
A Lazarev, Hochschild cohomology and moduli spaces of strongly homotopy associative algebras, Homology Homotopy Appl. 5 (2003) 73-100 MR1989615
-
(2003)
Homology Homotopy Appl.
, vol.5
, pp. 73-100
-
-
Lazarev, A.1
-
32
-
-
0003246987
-
Cyclic homology
-
Wissenschaften, Springer, MR1600246, Appendix E by M O Ronco, Chapter 13 by the author in collaboration with T Pirashvili
-
J L Loday, Cyclic homology, Grund. der Math. Wissenschaften 301, Springer (1998) MR1600246 Appendix E by M O Ronco, Chapter 13 by the author in collaboration with T Pirashvili
-
(1998)
Grund. Der Math.
, vol.301
-
-
Loday, J.L.1
-
33
-
-
38249008826
-
A cohomology theory for A(m)-algebras and applications
-
MR1191090
-
M Markl, A cohomology theory for A(m)-algebras and applications, J. Pure Appl. Algebra 83 (1992) 141-175 MR1191090
-
(1992)
J. Pure Appl. Algebra
, vol.83
, pp. 141-175
-
-
Markl, M.1
-
34
-
-
1042302998
-
Homotopy algebras are homotopy algebras
-
MR2034546
-
M Markl, Homotopy algebras are homotopy algebras, Forum Math. 16 (2004) 129-160 MR2034546
-
(2004)
Forum Math.
, vol.16
, pp. 129-160
-
-
Markl, M.1
-
35
-
-
0012947756
-
Operads in algebra, topology and physics
-
Amer. Math. Soc, MR1898414
-
M Markl, S Shnider, J Stasheff, Operads in algebra, topology and physics, Math. Surveys and Monogr. 96, Amer. Math. Soc. (2002) MR1898414
-
(2002)
Math. Surveys and Monogr.
, vol.96
-
-
Markl, M.1
Shnider, S.2
Stasheff, J.3
-
37
-
-
38249024421
-
A decomposition for the cyclic cohomology of a commutative algebra
-
MR1027747
-
T Natsume, S D Schack, A decomposition for the cyclic cohomology of a commutative algebra, J. Pure Appl. Algebra 61 (1989) 273-282 MR1027747
-
(1989)
J. Pure Appl. Algebra
, vol.61
, pp. 273-282
-
-
Natsume, T.1
Schack, S.D.2
-
38
-
-
0001948516
-
A∞ algebras and the cohomology of moduli spaces
-
from: Lie groups and Lie algebras: E B Dynkin's Seminar (editors S G Gindikin, from: Lie groups and Lie algebras: E B Dynkin's Seminar (editors S G Gindikin, E B Vinberg), Amer. Math. Soc., MR1364455
-
M Penkava, A Schwarz, A∞ algebras and the cohomology of moduli spaces, from: Lie groups and Lie algebras: E B Dynkin's Seminar (editors S G Gindikin, from: Lie groups and Lie algebras: E B Dynkin's Seminar (editors S G Gindikin, E B Vinberg), Amer. Math. Soc. Transl. Ser. 2 169, Amer. Math. Soc. (1995) 91-107 MR1364455
-
(1995)
Amer. Math. Soc. Transl. Ser. 2
, vol.169
, pp. 91-107
-
-
Penkava, M.1
Schwarz, A.2
-
39
-
-
2942751949
-
Extensions of homogeneous coordinate rings to A∞-algebras
-
MR2072342
-
A Polishchuk, Extensions of homogeneous coordinate rings to A∞-algebras, Homology Homotopy Appl. 5 (2003) 407-421 MR2072342
-
(2003)
Homology Homotopy Appl.
, vol.5
, pp. 407-421
-
-
Polishchuk, A.1
-
40
-
-
0001531057
-
Rational homotopy theory
-
MR0258031
-
D Quillen, Rational homotopy theory, Ann. of Math. (2) 90 (1969) 205-295 MR0258031
-
(1969)
Ann. of Math.
, vol.90
, Issue.2
, pp. 205-295
-
-
Quillen, D.1
-
42
-
-
84968509262
-
Homotopy associativity of H -spaces. I
-
MR0158400
-
J Stasheff, Homotopy associativity of H -spaces. I, Trans. Amer. Math. Soc. 108 (1963) 275-292 MR0158400
-
(1963)
Trans. Amer. Math. Soc.
, vol.108
, pp. 275-292
-
-
Stasheff, J.1
-
43
-
-
84968509262
-
Homotopy associativity of H -spaces. II
-
MR0158400
-
J Stasheff, Homotopy associativity of H -spaces. II, Trans. Amer. Math. Soc. 108 (1963) 293-312 MR0158400
-
(1963)
Trans. Amer. Math. Soc
, vol.108
, pp. 293-312
-
-
Stasheff, J.1
-
44
-
-
0000854675
-
The intrinsic bracket on the deformation complex of an associative algebra
-
MR1239562
-
J Stasheff, The intrinsic bracket on the deformation complex of an associative algebra, J. Pure Appl. Algebra 89 (1993) 231-235 MR1239562
-
(1993)
J. Pure Appl. Algebra
, vol.89
, pp. 231-235
-
-
Stasheff, J.1
-
46
-
-
26444568665
-
Notes on universal algebra
-
from: Graphs and patterns in mathematics and theoretical physics (editors M Lyubich, L Takhtajan), Amer. Math. Soc., MR2131012
-
A A Voronov, Notes on universal algebra, from: Graphs and patterns in mathematics and theoretical physics (editors M Lyubich, L Takhtajan), Proc. Sympos. Pure Math. 73, Amer. Math. Soc. (2005) 81-103 MR2131012
-
(2005)
Proc. Sympos. Pure Math.
, vol.73
, pp. 81-103
-
-
Voronov, A.A.1
-
47
-
-
13644277000
-
Closed string field theory: Quantum action and the Batalin- Vilkovisky master equation
-
MR1203476
-
B Zwiebach, Closed string field theory: quantum action and the Batalin- Vilkovisky master equation, Nuclear Phys. B 390 (1993) 33-152 MR1203476
-
(1993)
Nuclear Phys. B
, vol.390
, pp. 33-152
-
-
Zwiebach, B.1
|