Which driver is handling my touchpad?

It's likely that none of them are doing it. On my system for example where I'm using Fedora 19 and a Thinkpad 410 with a Synaptic touchpad I have no Kernel driver as well.

$ lsmod|grep -iE "apple|cyapa|sermouse|synap|psmouse|vsxx|bcm"

So then what's taking care of this device? Well it's actually this Kernel module:

$ lsmod|grep -iE "input"
uinput                 17672  0 

If you want to see more about this module you can use modinfo uinput:

$ modinfo uinput
filename:       /lib/modules/3.13.11-100.fc19.x86_64/kernel/drivers/input/misc/uinput.ko
version:        0.3
license:        GPL
description:    User level driver support for input subsystem
author:         Aristeu Sergio Rozanski Filho
alias:          devname:uinput
alias:          char-major-10-223
...

As it turns out input devices such as these are often dealt with at a higher level, in this case the actual drivers are implemented at the X11 level.

uinput is a linux kernel module that allows to handle the input subsystem from user land. It can be used to create and to handle input devices from an application. It creates a character device in /dev/input directory. The device is a virtual interface, it doesn't belong to a physical device.

SOURCE: Getting started with uinput: the user level input subsystem

So then where's my touchpad drivers?

They're in X11's subsystem. You can see the device using the xinput --list command. For example, Here's the devices on my Thinkpad laptop:

$ xinput --list 
⎡ Virtual core pointer                      id=2    [master pointer  (3)]
⎜   ↳ Virtual core XTEST pointer                id=4    [slave  pointer  (2)]
⎜   ↳ Logitech USB Receiver                     id=9    [slave  pointer  (2)]
⎜   ↳ Logitech USB Receiver                     id=10   [slave  pointer  (2)]
⎜   ↳ SynPS/2 Synaptics TouchPad                id=12   [slave  pointer  (2)]
⎜   ↳ TPPS/2 IBM TrackPoint                     id=13   [slave  pointer  (2)]
⎣ Virtual core keyboard                     id=3    [master keyboard (2)]
    ↳ Virtual core XTEST keyboard               id=5    [slave  keyboard (3)]
    ↳ Power Button                              id=6    [slave  keyboard (3)]
    ↳ Video Bus                                 id=7    [slave  keyboard (3)]
    ↳ Sleep Button                              id=8    [slave  keyboard (3)]
    ↳ AT Translated Set 2 keyboard              id=11   [slave  keyboard (3)]
    ↳ ThinkPad Extra Buttons                    id=14   [slave  keyboard (3)]

Notice that my TouchPad shows up in this list. You can find out additional info about these devices through /proc, for example:

$ cat /proc/bus/input/devices 
...
I: Bus=0011 Vendor=0002 Product=0007 Version=01b1
N: Name="SynPS/2 Synaptics TouchPad"
P: Phys=isa0060/serio1/input0
S: Sysfs=/devices/platform/i8042/serio1/input/input5
U: Uniq=
H: Handlers=mouse0 event4 
B: PROP=9
B: EV=b
B: KEY=6420 30000 0 0 0 0
B: ABS=260800011000003
...

OK but where's the driver?

Digging deeper if your system is using a Synaptic touchpad (which I believe they make ~90% of all touchpads), you can do a locate synaptics | grep xorg which should reveal the following files:

$ locate synaptics | grep xorg
/usr/lib64/xorg/modules/input/synaptics_drv.so
/usr/share/X11/xorg.conf.d/50-synaptics.conf
/usr/share/doc/xorg-x11-drv-synaptics-1.7.1
/usr/share/doc/xorg-x11-drv-synaptics-1.7.1/COPYING
/usr/share/doc/xorg-x11-drv-synaptics-1.7.1/README

The first results there is the actual driver you're asking about. It get's loaded into X.org via the second file here:

Section "InputClass"
        Identifier "touchpad catchall"
        Driver "synaptics"
        MatchIsTouchpad "on"
        MatchDevicePath "/dev/input/event*"
EndSection

And this line:

        MatchDevicePath "/dev/input/event*"

Is what associates the physical devices with this driver. And you're probably asking yourself, how can this guy be so sure? Using this command shows the device associated with my given Synaptic TouchPad using id=12 from the xinput --list output I showed earlier:

$ xinput --list-props 12 | grep "Device Node"
    Device Node (251):  "/dev/input/event4"

$ cat /var/log/Xorg.0.log | grep "input driver"

On my laptop it shows:

...
[     9.054] (II) Using input driver 'synaptics' for 'Elan Touchpad'
...