Hiroshige Kajiura -- research
On my research
May 31, 2014,
Research interest under construction
Algebraic topology (operads, homotopy algebras, ...);
Deformation quantization and Noncommutative geometry;
Homological or categorical algebra;
String theory and quantum field theory
(topological strings, mirror symmetry
and homological mirror symmetry, BV-formalism, string field theory, ...);
Algebraic geometry related to singularities,
Lagrangians in symplectic geometry,
Representation theory of quivers ....
Algebraic structures (operads, homotopy algebras, ...)
associated to compactifications
of moduli spaces of punctured Riemann surfaces
Algebraic structures associated to various geometry
as representations over those operads, etc.,
Deformation of geometry as
deformation of those algebraic structures
- "On A-infinity enhancements for triangulated categories," (in Japanese)
[pdf] May 22, 2014.
- ``On algebraic models for Morse homotopy and
their noncommutative deformations,'' (in Japanese)
(Proceeding of the talk given at 53th geometry symposium,
Kanazawa university, August 6, 2006, with a few corrections.
- ``Deformation theory, homotopy algebras and string theory,''
A rough draft for a talk on a deformation theory aspect of
open-closed homotopy algebras (OCHAs)
- ``Homological perturbation theory and Homological mirror symmetry: the $\R^2$ case,'' [ps] [pdf]
(Talk given at
``Higher Structures in Geometry and Physics;
in honor of Jim Stasheff's 70 birthday
and Murray Gerstenhaber's 80's birthday''
at Henri Poincare Institute, Paris, France, January 18, 2007,
related to the talk given at ``L-S category and $A_\infty$-structure''
at Karatsu-city hole, November 1, 2006.
This presents the background of the paper
``An $A_\infty$-structure for lines in a plane,''
- ``On homotopy algebras and their applications to string theory,''
(Talk given at Homotopy theory conference 2005, March 19-21
at Nagoya Institute of Technology; some of what were explained on the blackboard is added (April 28, 2005))
"Category theory for mathematical physics," (in Japanese), July 2010
webpage for corrections
Lectures in Mathematical Sciences, The University of Tokyo,
``Introduction to deformation quantization,'' (in Japanese)
with Y. Maeda (note: by R. Takamura), May 2002
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