List of Publications (Ezra Getzler)
 Pseudodifferential operators on
supermanifolds and the AtiyahSinger index theorem,
Comm. Math. Phys. 92 (1983), 163178.
 A short proof of the AtiyahSinger index
theorem, Topology 25 (1986), 111117.
 The local AtiyahSinger index theorem, in "Critical
phenomena, random systems, gauge theories (Les Houches 1984)"
NorthHolland, AmsterdamNew York, 1986, pp. 967974.
 Degree theory for Wiener maps,
J. Func. Anal. 68 (1986),
388403.
 The degree of the Nicolai
map, J. Func. Anal. 74 (1987), 121138.
 The degree theory of the Nicolai map, in "VIIIth
international congress on mathematical physics (Marseille, 1986)"
World Scientific, Singapore, 1987, pp. 431438.
 (with J. L. Brylinski) The
homology of algebras of pseudodifferential symbols and the
noncommutative residue, KTheory 1 (1987), 385403.
 A heat equation approach to Boutet de Monvel's
index theorem for Toeplitz operators, in "Miniconference on
harmonic analysis and operator algebras (Canberra, 1987),"
Proc. Centre Math. Anal. Austral. Nat. Univ. 15,
Austral. Nat. Univ., Canberra, 1987, pp. 5565.
 Inégalités
asymptotiques de Demailly pour les fibrés vectoriels,
C. R. Acad. Sci. Paris Sér. I Math. 304 (1987), 475478.
 A Demailly inequality for
strictly pseudoconvex CR manifolds J. Differential
Geom. 29 (1989), 231244.
 Cyclic homology and the
BeilinsonManinSchechtman central extension
Proc. Amer. Math. Soc. 104 (1989), 729734.
 Dirichlet forms on loop space
Bull. Sci. Math. (2) 113 (1989), 151174.
 The Thom class of Mathai and Quillen and
probability theory in "Stochastic Analysis and Applications
(Lisbon, 1989)" Progr. Probab. 26, Birkhäuser,
Boston, 1991, pp. 111122.
 An extension of Gross's logSobolev inequality
for the loop space of a compact Lie group in "Probability
Models in Mathematical Physics," World Scientific, Singapore, 1991,
pp. 7397.
 (with A. Szenes) On the Chern character of
thetasummable Fredholm modules J. Func. Anal. 84
(1989), 343357.
 (with J.D.S. Jones) A_{∞}algebras and the cyclic bar
complex Illinois J. Math. 34 (1989), 256283.
 (with J.D.S. Jones and S. Petrack) Differential forms on loop space and the cyclic bar
complex Topology
30 (1991), 339371.
 (with N. Berline and M. Vergne) "Heat
Kernels and Dirac Operators," Grundlehren 298,
SpringerVerlag, BerlinHeidelbergNew York, 1992. Grundlehren Text
Edition, 2003.
 (with J. Block) Quantization of
foliations in "Proceedings of the XXth International
Conference on Differential Geometric Methods in Physics (New York,
1991)" World Scientific, Singapore, 1992, pp. 471487.
 Cartan homotopy formulas and the GaussManin
connection in cyclic homology in "Quantum deformations of
algebras and their representations," Israel
Math. Conf. Proc. 7 (1993), pp. 6578.
 (with J. Block) Equivariant cyclic
homology and equivariant differential forms Ann. Sci. Ecole
Normale Sup. (4) 27 (1994), 493527.
 (with J.D.S. Jones) The cyclic homology of
crossed product algebras J. Reine
Angew. Math. 445 (1993), 161174.
 (with J. Block and J.D.S Jones) The cyclic
homology of crossed product algebras. II. Topological
algebras J. Reine Angew. Math. 466 (1995),
1925.
 Cyclic homology and the AtiyahPatodiSinger
index theorem in "Index theory and operator algebras,"
Contemp. Math. 148, Amer. Math. Soc., Providence, RI,
1993, pp. 1945.
 The odd Chern character in cyclic
homology and spectral flow Topology 32 (1993),
489507.

BatalinVilkovisky algebras and twodimensional topological field
theories Comm. Math. Phys. 159 (1994), 265285.

Twodimensional topological gravity and equivariant
cohomology Comm. Math. Phys. 163 (1994), 473489.
 The equivariant Chern character for noncompact
Lie groups Adv. Math. 109 (1994), 88107.
 The Bargmann representation,
generalized Dirac operators and the index of pseudodifferential
operators on
R^{n} in "Symplectic geometry and
quantization," Contemp. Math. 179, Amer. Math. Soc.,
Providence, RI, 1994, pp. 6381.
 The AtiyahBott fixed point
formula in "Raoul Bott: collected papers, vol. 2,"
Birkhäuser, Boston, 1994, pp. xxxixxxiii.
 Manin pairs
and topological field theory Ann. Phys. 237 (1995),
161201.
 (with M.M. Kapranov) Cyclic operads and cyclic
homology, in "Geometry, topology and physics," International
Press, Cambridge, MA, 1995, pp. 167201.
 Operads and
moduli spaces of genus 0 Riemann surfaces, in "The moduli
space of curves," Progr. Math.
129, Birkhäuser, Boston, 1995, pp. 199230.

Intersection theory on M_{1,4} and elliptic GromovWitten
invariants J. Amer. Math. Soc. 10 (1997), 973998.
 (with M.M. Kapranov) Modular operads
Compositio Math. 110 (1998), 65126.
 The
semiclassical approximation for modular operads
Commun. Math. Phys. 198 (1998), 481492.
 (with R. Pandharipande) Virasoro constraints and
the Chern classes of the Hodge bundle Nucl. Phys. B530
(1998), 701714.

Resolving mixed Hodge structures of configuration spaces Duke
J. Math. 96 (1999),
175203.
 Topological
recursion relations in genus 2 In "Integrable systems and
algebraic geometry (Kobe/Kyoto, 1997)," World Sci. Publishing, River
Edge, NJ, 1998, pp. 73106.
 (edited with M.M. Kapranov) "Higher category theory. (Papers from
the Workshop on Higher Category Theory and Physics held at
Northwestern University, Evanston, IL, March 2830, 1997.)"
Contemp. Math. vol. 230. AMS, Providence, RI, 1998.
 The Virasoro
conjecture for GromovWitten invariants In "Algebraic
Geometry  Hirzebruch 70 (Warsaw, 1998)," Contemp. Math., 241,
Amer. Math. Soc., Providence, RI, 1999, pp. 147176,
 A Darboux
theorem for Hamiltonian operators in the formal calculus of
variations Duke J. Math. 111 (2002),
535560. (Here are the two letters of
Deligne to Breen on 2groupoids and differential graded Lie algebras.)
 (with T. Eguchi and C.S. Xiong) Topological gravity in
genus 2 with two primary fields Adv. Theor. Math. Phys.
4 (2000), 981998.
 Review
of Yu. I. Manin, "Frobenius manifolds, quantum cohomology,
and moduli spaces," Bull. Amer. Math. Soc. 38 (2001), 101108.
 The Toda
conjecture In "Symplectic geometry and mirror symmetry
(KIAS, Seoul, 2000)," eds. K. Fukaya et al., World Scientific,
Singapore, 2001, pp. 5179.
 Euler
characteristics of local systems on M_{2} Compositio
Math. 132 (2002),
121135.
 (with A. Okounkov and R. Pandharipande) Multipoint series of
GromovWitten invariants of CP^{1}
Lett. Math. Phys. 62 (2002),
159172.
 The equivariant Toda lattice.
Publ. RIMS, Kyoto 40 (2004), 507536.
 The jetspace
of a Frobenius manifold and highergenus GromovWitten
invariants in "Frobenius manifolds," Aspects Math., E36,
Vieweg, Wiesbaden, 2004, pp. 4589.
 (with R. Pandharipande) The Betti
numbers of M_{0,n}(r,d) J. Alg. Geometry
15 (2006), 709732.
 (with
X. Z. Cheng) Transferring
homotopy commutative algebraic structures J. Pure
Appl. Alg. 212 (2008), 25352542.
 Lie theory
for nilpotent L_{∞} algebras Ann. of
Math. 170 (2009), 271301.
 Operads
revisited In "Algebra, arithmetic, and geometry: in honor of
Yu. I. Manin," Vol. I, 675698, Progr. Math. 269 Birkhäuser
Boston, Boston, MA, 2009.
 A
filtration of open/closed topological field theory.
Math. Forschungsinst. Oberwolfach, Report No. 25/2010, "Geometry,
Quantum Fields and String: Categorical Aspects," 15071511.
 (with K. Behrend)
Geometric higher groupoids and categories. To
appear, Bismut Festchrift, Progress in Mathematics.
 The derived MaurerCartan
locus. L'Enseignement Mathématique (2) 62 (2016), 261284.

The BatalinVilkovisky formalism of the spinning particle.
J. High Energy Phys. (2016) 2016:17.
 The spinning
particle with curved target. To appear, Commun. Math. Phys.
Unpublished Papers and Preprints
 (with
J.D.S. Jones)
Operads, homotopy algebra, and iterated integrals for double loop
spaces University of Warwick preprint. March,
1994.
 The
homology groups of some twostep nilpotent Lie algebras associated to
symplectic vector spaces
 (with E. Looijenga) The Hodge polynomial of
M_{3,1}
 Higher derived
brackets